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Submitted
| Authors |
A. Hantoute, A. Y. Kruger, M. A. López |
| Title |
Optimality conditions and subdifferential calculus for infinite sums of functions |
| Journal |
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| Links |
DOI: Preprint  : arXiv: 2409.00573 |
| Authors |
A. Hantoute, A. Y. Kruger, M. A. López |
| Title |
Strong duality in infinite convex optimization |
| Journal |
|
| Links |
DOI: Preprint : arXiv: 2507.04217 |
Online First
| Authors |
N. D. Cuong, A. Y. Kruger |
| Title |
Sequential extremal principle and necessary conditions for minimizing sequences |
| Journal |
Optimization: A Journal of Mathematical Programming and Operations Research |
| Links |
Open access DOI 10.1080/02331934.2025.2534122 Preprint : arXiv: 2502.19884 |
| Authors |
N. D. Cuong, A. Y. Kruger |
| Title |
Generalized separation of collections of sets |
| Journal |
Optimization: A Journal of Mathematical Programming and Operations Research |
| Links |
Open access DOI 10.1080/02331934.2025.2562434 Preprint : arXiv: 2412.05336 |
2025
| Authors |
N. D. Cuong, A. Y. Kruger, N. H. Thao |
| Title |
Extremality of families of sets and set-valued optimization |
| Journal |
Set-Valued and Variational Analysis, 33 (2025), no. 2, art. no. 21 |
| Links |
DOI 10.1007/s11228-025-00751-9 Preprint : arXiv: 2407.20473 |
| Authors |
A. Y. Kruger |
| Title |
Nonsmooth analysis: Fréchet subdifferentials |
| Booktitle |
Encyclopedia of Optimization |
| Editors |
Panos M. Pardalos and Oleg A. Prokopyev |
| Published |
Springer, Cham, 2025 |
| Links |
DOI: 10.1007/978-3-030-54621-2_458-1 |
2024
| Authors |
N. D. Cuong, A. Y. Kruger, N. H. Thao |
| Title |
Extremality of families of sets |
| Journal |
Optimization: A Journal of Mathematical Programming and Operations Research, 73 (2024), no. 12, 3593-3607 |
| Links |
DOI: 10.1080/02331934.2024.2385656 Preprint : arXiv: 2403.16511 |
| Authors |
M. Fabian, A. Y. Kruger, P. Mehlitz |
| Title |
Fuzzy multiplier, sum and intersection rules in non-Lipschitzian settings: Decoupling approach revisited |
| Journal |
Journal of Mathematical Analysis and Applications, 532 (2024), no. 2, art. no. 127985 |
| Links |
Open access DOI: 10.1016/j.jmaa.2023.127985 Preprint : arXiv: 2305.08484 |
| Authors |
A. Y. Kruger |
| Title |
Nonsmooth analysis: approximate stationarity |
| Booktitle |
Encyclopedia of Optimization |
| Editors |
Panos M. Pardalos and Oleg A. Prokopyev |
| Published |
Springer, Cham, 2024 |
| Links |
DOI: 10.1007/978-3-030-54621-2_459-1 |
| Authors |
L. T. Nguyen, A. Eberhard, X. Yu, A. Y. Kruger, C. Li |
| Title |
Finite-time nonconvex optimization using time-varying dynamical systems |
| Journal |
Journal of Optimization Theory and Applications, 203 (2024), no. 1, 844-879 |
| Links |
DOI: 10.1007/s10957-024-02536-w Preprint : |
2023
| Authors |
E. Bednarczuk, Dinh The Luc, A. Y. Kruger, J. E. Martínez-Legaz, C. Tammer, Nguyen Dong Yen |
| Title |
EDITORIAL:
Special issue dedicated to the 75th birthday of professor Phan Quoc Khanh |
| Journal |
Optimization: A Journal of Mathematical Programming and Operations Research 72 (2023) no. 1, 1-7 |
| Links |
DOI: 10.1080/02331934.2023.2168871  |
| Authors |
H. Gfrerer, A. Y. Kruger |
| Title |
Radius theorems for subregularity in infinite dimensions |
| Journal |
Computational Optimization and Applications, 86 (2023), no. 3, 1117-1158 |
| Links |
DOI: 10.1007/s10589-022-00431-6 Preprint : arXiv: 2206.10347 |
| Authors |
H. Gfrerer, A. Y. Kruger |
| Title |
The radius of metric regularity revisited |
| Journal |
Set-Valued and Variational Analysis, 31 (2023), no. 3, art. no. 20 |
| Links |
Open access DOI: 10.1007/s11228-023-00681-4 Preprint : arXiv: 2210.13790 |
2022
| Authors |
A. M. Bagirov, R. S. Burachik, A. Y. Kruger, J. E. Martínez-Legaz, X. Q. Yang |
| Title |
EDITORIAL:
Special issue dedicated to the 80th birthday of professor Alexander Rubinov |
| Journal |
Optimization: A Journal of Mathematical Programming and Operations Research 71 (2022) no. 4, 775-778 |
| Links |
DOI: 10.1080/02331934.2022.2057066 |
| Authors |
Hoa T. Bui, R. S. Burachik, A. Y. Kruger, D. T. Yost |
| Title |
Zero duality gap conditions via abstract convexity |
| Journal |
Optimization: A Journal of Mathematical Programming and Operations Research 71 (2022), no. 4, 811-847 |
| Links |
DOI: 10.1080/02331934.2021.1910694 (free copy) Preprint : arXiv: 1910.08156 |
| Authors |
Hoa T. Bui, A. Y. Kruger |
| Title |
Necessary conditions for non-intersection of collections of sets |
| Journal |
Optimization: A Journal of Mathematical Programming and Operations Research 71 (2022), no. 1, 165-196 |
| Links |
DOI: 10.1080/02331934.2021.1901899 (free copy) Preprint : arXiv: 1909.08995 |
| Authors |
N. D. Cuong, A. Y. Kruger |
| Title |
Error bounds revisited |
| Journal |
Optimization: A Journal of Mathematical Programming and Operations Research 71 (2022), no. 4, 1021-1053 |
| Links |
DOI 10.1080/02331934.2022.2032695 (free copy) Preprint : arXiv: 2012.03941 |
| Authors |
A. Y. Kruger, M. A. López, X. Q.
Yang, J. Zhu |
| Title |
Isolated calmness and sharp minima via Hölder graphical
derivatives |
| Journal |
Set-Valued and Variational Analysis 30 (2022), no. 4, 1423-1441 |
| Links |
Open access DOI: 10.1007/s11228-022-00628-1 Preprint : arXiv: 2106.08149 |
| Authors |
A. Y. Kruger, P. Mehlitz |
| Title |
Optimality conditions, approximate stationarity, and applications – a story beyond Lipschitzness |
| Journal |
ESAIM: Control, Optimisation and Calculus of Variations 28 (2022), Article Number 42 |
| Links |
Open access DOI: 10.1051/cocv/2022024 Preprint : arXiv: 2110.07268 |
2021
| Authors |
M. Abbasi, A. Y. Kruger, M. A. Théra |
| Title |
Gateaux differentiability revisited |
| Journal |
Applied Mathematics & Optimization 84 (2021), no. 3, 3499-3516 |
| Links |
DOI: 10.1007/s00245-021-09754-y Preprint : hal-02963967 |
| Authors |
M. Abbasi, A. Y. Kruger, M. A. Théra |
| Title |
Enlargements of the Moreau-Rockafellar subdifferential |
| Journal |
Set-Valued and Variational Analysis 29 (2021), no. 3, 701-719 |
| Links |
DOI: 10.1007/s11228-021-00582-4 Preprint : hal-02484321 |
| Authors |
N. D. Cuong, A. Y. Kruger |
| Title |
Uniform regularity of set-valued mappings |
| Journal |
Journal of Nonsmooth Analysis and Optimization 2 (2021), 6599 |
| Links |
Open access DOI: 10.46298/jnsao-2021-6599 JNSAO Preprint : arXiv: 2001.07609 |
| Authors |
N. D. Cuong, A. Y. Kruger |
| Title |
Primal necessary characterizations of transversality properties |
| Journal |
Positivity 25 (2021), no. 2, 531-558 |
| Links |
DOI: 10.1007/s11117-020-00775-5 Preprint : Optimization Online: 2020-01-7579 |
| Authors |
N. D. Cuong, A. Y. Kruger |
| Title |
Transversality properties: Primal sufficient conditions |
| Journal |
Set-Valued and Variational Analysis 29 (2021), no. 2, 221-256 |
| Links |
DOI: 10.1007/s11228-020-00545-1 Preprint : arXiv: 1902.06186 |
2020
| Authors |
Hoa T. Bui, N. D. Cuong, A. Y. Kruger |
| Title |
Geometric and metric characterizations of transversality properties |
| Journal |
Vietnam Journal of Mathematics 48 (2020), no. 2, 277-297 |
| Links |
DOI: 10.1007/s10013-020-00388-1 Preprint : Optimization Online: 2019-07-7275 |
| Authors |
M. J. Cánovas, A. Y. Kruger, H. X. Phu, M. Théra |
| Title |
Preface to the Special Issue Dedicated to Marco A. López’s 70th Birthday: Convex and Nonconvex Analysis, and Semi-Infinite Optimization: A Special Tribute to the Work of Marco López Cerdá |
| Journal |
Vietnam Journal of Mathematics 48 (2020), no. 2, 205-209 |
| Links |
Open access DOI: 10.1007/s10013-020-00411-5 |
| Authors |
M. J. Cánovas, A. Y. Kruger, H. X. Phu, M. Théra |
| Title |
Marco A. López, a pioneer of continuous optimization in Spain |
| Journal |
Vietnam Journal of Mathematics 48 (2020), no. 2, 211-219 |
| Links |
Open access DOI: 10.1007/s10013-020-00396-1 |
| Authors |
N. D. Cuong, A. Y. Kruger |
| Title |
Nonlinear transversality properties of collections of sets: Dual space necessary characterizations |
| Journal |
Journal of Convex Analysis 27 (2020), no. 1, 287-308 |
| Links |
JCA Preprint : Optimization Online: 2019-07-7273 |
| Authors |
N. D. Cuong, A. Y. Kruger |
| Title |
Dual sufficient characterizations of transversality properties |
| Journal |
Positivity 24 (2020), no. 5, 1313-1359 |
| Links |
DOI: 10.1007/s11117-019-00734-9 Preprint : Optimization Online: 2019-07-7313 |
| Authors |
A. L. Dontchev, H. Gfrerer, A. Y. Kruger, J. V. Outrata |
| Title |
The radius of metric subregularity |
| Journal |
Set-Valued and Variational Analysis 28 (2020), no. 3, 451-473 |
| Links |
DOI: 10.1007/s11228-019-00523-2 Preprint : arXiv: 1807.02198 |
2019
| Authors |
Hoa T. Bui, A. Y. Kruger |
| Title |
Extremality, stationarity and generalized separation of collections of sets |
| Journal |
Journal of Optimization Theory and Applications 182 (2019) no. 1, 211-264 |
| Links |
DOI: 10.1007/s10957-018-01458-8 Preprint : arXiv: 1808.05740 |
| Authors |
R. Cibulka, M. Fabian, A. Y. Kruger |
| Title |
On semiregularity of mappings |
| Journal |
Journal of Mathematical Analysis and Applications 473 (2019) no. 2, 811-836 |
| Links |
DOI: 10.1016/j.jmaa.2018.12.071
Preprint : arXiv |
| Authors |
A. Y. Kruger, M. A. López, X. Q.
Yang, J. Zhu |
| Title |
Hölder error bounds and Hölder calmness with applications to convex semi-infinite optimization |
| Journal |
Set-Valued and Variational Analysis, 27 (2019) no. 4, 995-1023 |
| Links |
DOI: 10.1007/s11228-019-0504-0 Preprint : arXiv: 1806.06442 |
2018
| Authors |
Hoa T. Bui, A. Y. Kruger |
| Title |
About extensions of the extremal principle |
| Journal |
Vietnam Journal of Mathematics 46 (2018) no. 2, 215-242 |
| Links |
DOI: 10.1007/s10013-018-0278-y  Preprint : arXiv |
| Authors |
R. Cibulka, A. L. Dontchev, A. Y. Kruger |
| Title |
Strong metric subregularity of mappings in
variational analysis and optimization |
| Journal |
Journal of Mathematical Analysis and Applications 457 (2018) no. 2, 1247-1282 |
| Links |
DOI: 10.1016/j.jmaa.2016.11.045 Preprint : arXiv |
| Authors |
A. Y. Kruger |
| Title |
About intrinsic transversality of pairs of sets |
| Journal |
Set-Valued and Variational Analysis 26 (2018) no. 1, 111-142 |
| Links |
DOI: 10.1007/s11228-017-0446-3 Preprint : arXiv |
| Authors |
A. Y. Kruger, M. A. López, M. A. Théra |
| Title |
Perturbation of error bounds |
| Journal |
Mathematical Programming, Ser. B 168 (2018) no. 1-2, 533-554 |
| Links |
DOI: 10.1007/s10107-017-1129-4 Preprint : Optimization Online arXiv |
| Authors |
A. Y. Kruger, D. R. Luke, N. H. Thao |
| Title |
Set regularities and feasibility problems |
| Journal |
Mathematical Programming, Ser. B 168 (2018) no. 1-2, 279-311 |
| Links |
DOI: 10.1007/s10107-016-1039-x Preprint : arXiv |
2017
| Authors |
A. Y. Kruger, D. R. Luke, N. H. Thao |
| Title |
About subtransversality of collections of sets |
| Journal |
Set-Valued and Variational Analysis 25 (2017) no. 4, 701-729 |
| Links |
DOI: 10.1007/s11228-017-0436-5 Preprint :arXiv |
| Authors |
A. Y. Kruger, S. Plubtieng, T. Seangwattana |
| Title |
Borwein–Preiss vector variational principle |
| Journal |
Positivity 21 (2017) no. 4, 1273-1292 |
| Links |
DOI: 10.1007/s11117-017-0466-0 Preprint : Optimization Online arXiv |
2016
| Authors |
A. Y. Kruger |
| Title |
Nonlinear metric subregularity |
| Journal |
Journal of Optimization Theory and Applications 171 (2016) no. 3, 820-855 |
| Links |
DOI: 10.1007/s10957-015-0807-8 Preprint : Optimization Online arXiv |
| Authors |
A. Y. Kruger, S. Plubtieng, T. Seangwattana |
| Title |
Borwein–Preiss variational principle revisited |
| Journal |
Journal of Mathematical Analysis and Applications 435 (2016) no. 2, 1183-1193 |
| Links |
DOI: 10.1016/j.jmaa.2015.11.009 Preprint : Optimization Online arXiv |
| Authors |
A. Y. Kruger, N. H. Thao |
| Title |
Regularity of collections of sets and convergence of inexact alternating projections |
| Journal |
Journal of Convex Analysis 23 (2016), no. 3, 823-847 |
| Links |
JCA Preprint : Optimization Online arXiv |
2015
| Authors |
P. Q. Khanh, A. Y. Kruger, N. H. Thao |
| Title |
An induction theorem and nonlinear regularity models |
| Journal |
SIAM Journal on Optimization 25 (2015) no. 4, 2561-2588 |
| Links |
Preprint : Optimization Online arXiv |
| Authors |
A. Y. Kruger |
| Title |
Error bounds and metric subregularity |
| Journal |
Optimization: A Journal of Mathematical Programming and Operations Research 64 (2015) no. 1, 49-79 |
| Links |
DOI: 10.1080/02331934.2014.938074 Preprint : Optimization Online arXiv |
| Authors |
A. Y. Kruger |
| Title |
Error bounds and Hölder metric subregularity |
| Journal |
Set-Valued and Variational Analysis 23 (2015) no. 4, 705-736 |
| Links |
DOI: 10.1007/s11228-015-0330-y Preprint : Optimization Online arXiv |
| Authors |
A. Y. Kruger, N. H. Thao |
| Title |
Quantitative characterizations of regularity properties of collections of sets |
| Journal |
Journal of Optimization Theory and Applications 164 (2015) no. 1, 41-67 |
| Links |
DOI: 10.1007/s10957-014-0556-0 Preprint : Optimization Online arXiv |
2014
| Authors |
L. Q. Anh, T. Q. Duy, A. Y. Kruger, N. H. Thao |
| Title |
Well-posedness for lexicographic vector equilibrium problems |
| Booktitle |
Constructive Nonsmooth Analysis and Related Topics. Springer Optimization and Its Applications, Vol. 87 |
| Editors |
Vladimir Demyanov, Panos M. Pardalos, and Mikhail Batsyn |
| Published |
Springer-Verlag, Berlin, 2014, 157-172 |
| Links |
DOI: 10.1007/978-1-4614-8615-2_10 Preprint : Optimization Online |
| Authors |
L. Q. Anh, A. Y. Kruger, N. H. Thao |
| Title |
On Hölder calmness of solution mappings in parametric equilibrium problems |
| Journal |
TOP 22 (2014) no.1, 331-342 |
| Links |
DOI: 10.1007/s11750-012-0259-3 Preprint |
| Authors |
M. J. Cánovas, A. Y. Kruger, M. A. López, J. Parra, M. A. Théra |
| Title |
Calmness modulus of linear semi-infinite programs |
| Journal |
SIAM Journal on Optimization 24 (2014) no. 1, 29-48 |
| Links |
DOI: 10.1137/130907008 SIAM Journals Online Preprint : Optimization Online arXiv |
| Authors |
A. Y. Kruger, L. Minchenko, J. V. Outrata |
| Title |
On relaxing the Mangasarian-Fromovitz constraint qualification |
| Journal |
Positivity 18 (2014) no. 1, 171-189 |
| Links |
DOI: 10.1007/s11117-013-0238-4 Preprint : Optimization Online |
| Authors |
A. Y. Kruger, N. H. Thao |
| Title |
About [q]-regularity properties of collections of sets |
| Journal |
Journal of Mathematical Analysis and Applications, 416 (2014) no. 2, 471-496 |
| Links |
DOI: 10.1016/j.jmaa.2014.02.028 Preprint : Optimization Online arXiv |
| Authors |
G.-W. Weber, A. Y. Kruger, J. E.
Martínez-Legaz, B. S. Mordukhovich, L. Sakalauskas |
| Title |
EDITORIAL:
Special Issue on recent advances in continuous optimization on the occasion of the 25th European conference on Operational Research (EURO XXV 2012) |
| Journal |
Optimization: A Journal of Mathematical Programming and Operations Research 63 (2014) no. 1, 1-5 |
| Links |
DOI: 10.1080/02331934.2014.877638 |
2013
| Authors |
R. Henrion, A. Y. Kruger, J. V. Outrata |
| Title |
Some remarks on stability of generalized equations |
| Journal |
Journal of Optimization Theory and Applications 159 (2013) no. 3, 681-697 |
| Links |
DOI: 10.1007/s10957-012-0147-x Preprint : Optimization Online |
| Authors |
A. Y. Kruger, N. H. Thao |
| Title |
About uniform regularity of collections of sets |
| Journal |
Serdica Mathematical Journal 39 (2013), no. 3-4, 287-312 |
| Links |
Published version Preprint : Optimization Online arXiv |
2012
| Authors |
E. Bednaczuk, A. Y. Kruger |
| Title |
Error bounds for vector-valued functions: necessary and sufficient conditions |
| Journal |
Nonlinear Analysis 75 (2012), no. 3, 1124-1140 |
| Links |
  DOI: 10.1016/j.na.2011.05.098 Preprint : Optimization Online |
| Authors |
E. Bednaczuk, A. Y. Kruger |
| Title |
Error bounds for vector-valued functions on metric spaces |
| Journal |
Vietnam Journal of Mathematics 40 (2012), no. 2-3, 165-180 |
| Links |
VJM Preprint : Optimization Online |
| Authors |
M. Fabian, R. Henrion, A. Y. Kruger, J. V. Outrata |
| Title |
About error bounds in metric spaces |
| Booktitle |
Operations Research Proceedings 2011. Selected Papers of the International Conference on Operations Research (OR 2011), August 30 – September 2, 2011, Zurich, Switzerland |
| Editors |
Diethard Klatte, Hans-Jacob Lüthi, and Karl Schmedders |
| Published |
Springer-Verlag, Berlin, 2012, 33-38 |
| Links |
DOI: 10.1007/978-3-642-29210-1_6 Preprint |
| Authors |
D. Klatte, A. Y. Kruger, B. Kummer |
| Title |
From convergence principles to stability and optimality conditions |
| Journal |
Journal of Convex Analysis 19 (2012), no. 4, 1043-1072 |
| Links |
DOI: JCA Preprint : Optimization Online |
| Authors |
A. Y. Kruger |
| Title |
Comments on: Stability in linear optimization and related topics. A personal tour |
| Journal |
TOP
20 (2012), no. 2, 255-257 |
| Links |
DOI: 10.1007/s11750-011-0218-4 |
| Authors |
A. Y. Kruger, M. A. López |
| Title |
Stationarity and regularity of infinite collections of sets |
| Journal |
Journal of Optimization Theory and Applications, 154 (2012), no. 2, 339-369 |
| Links |
DOI: 10.1007/s10957-012-0043-4 Preprint : Optimization Online |
| Authors |
A. Y. Kruger, M. A. López |
| Title |
Stationarity and regularity of infinite collections of sets. Applications to infinitely constrained optimization |
| Journal |
Journal of Optimization Theory and Applications, 155 (2012), no. 2, 390-416 |
| Links |
DOI: 10.1007/s10957-012-0086-6 Preprint : Optimization Online |
| Authors |
H. V. Ngai, A. Y. Kruger, M. Théra |
| Title |
Slopes of multifunctions and extensions of metric regularity |
| Journal |
Vietnam Journal of Mathematics 40 (2012), no. 2-3, 355-369 |
| Links |
VJM Preprint : Optimization Online |
2011
| Authors |
T. D. Chuong, A. Y. Kruger, J.-C. Yao |
| Title |
Calmness of efficient solution maps in parametric vector optimization |
| Journal |
Journal of Global Optimization 51 (2011), no. 4, 677-688 |
| Links |
DOI: 10.1007/s10898-011-9651-z Preprint |
2010
| Authors |
M. Fabian, R. Henrion, A. Y. Kruger, J. V. Outrata |
| Title |
Error bounds: necessary and sufficient conditions |
| Journal |
Set-Valued and Variational Analysis 18 (2010), no. 2, 121-149 |
| Links |
Preprint :
Optimization Online |
| Authors |
A. Y. Kruger, H. Van Ngai, M. Théra |
| Title |
Stability of error bounds for convex constraint systems in Banach spaces |
| Journal |
SIAM Journal on Optimization 20 (2010), no. 6, 3280-3296 |
| Links |
SIAM Journals Online Author copy |
| Authors |
H. Van Ngai, A. Y. Kruger, M. Théra |
| Title |
Stability of error bounds for semi-infinite convex constraint systems |
| Journal |
SIAM Journal on Optimization 20 (2010), no. 4, 2080-2096 |
| Links |
SIAM Journals Online Author copy |
2009
| Authors |
A. V. Dmitruk, A. Y. Kruger |
| Title |
Extensions of metric regularity |
| Journal |
Optimization: A Journal of Mathematical Programming and Operations Research 58 (2009), no. 5, 561-584 |
| Links |
DOI: 10.1080/02331930902928674
Preprint |
| Authors |
A. Y. Kruger |
| Title |
About stationarity and regularity in variational analysis |
| Journal |
Taiwanese Journal of Mathematics 13 (2009), no. 6a, 1737-1785 |
| Links |
Article   |
| Authors |
A. Y. Kruger |
| Title |
Nonsmooth analysis: Fréchet subdifferentials |
| Booktitle |
Encyclopedia of Optimization, Second edition |
| Editors |
Christodoulos A. Floudas and Panos M. Pardalos |
| Published |
Boston: Springer-Verlag, 2009, 2651-2658 |
| Links |
Preprint |
| Authors |
A. Y. Kruger |
| Title |
Nonsmooth analysis: weak stationarity |
| Booktitle |
Encyclopedia of Optimization, Second edition |
| Editors |
Christodoulos A. Floudas and Panos M. Pardalos |
| Published |
Boston: Springer-Verlag, 2009, 2658-2664 |
| Links |
Preprint |
2008
| Authors |
A. V. Dmitruk, A. Y. Kruger |
| Title |
Metric regularity and systems of generalized equations |
| Journal |
Journal of Mathematical Analysis and Applications 342 (2008), no. 2, 864-873 |
| Links |
DOI:
10.1016/j.jmaa.2007.12.057 Preprint : Optimization Online |
| Authors |
R. Henrion, A. Y. Kruger, J. V. Outrata |
| Title |
Boris Mordukhovich, the never tiring traveller, celebrates his sixtieth birthday |
| Journal |
Set-Valued Analysis 16 (2008), no. 2-3, 125-127 |
| Links |
Preprint |
2007
| Authors |
J. Ugon, S. Kouhbor, M. Mammadov, A. Rubinov, A. Kruger |
| Title |
Facility location via continuous optimization with discontinuous objective functions |
| Journal |
ANZIAM Journal 48 (2007), 315-325 |
| Links |
|
2006
| Authors |
A. Y. Kruger |
| Title |
About regularity of collections of sets |
| Journal |
Set-Valued Analysis 14 (2006), 187-206 |
| Links |
Preprint : Optimization Online, UB |
| Authors |
A. Y. Kruger |
| Title |
Stationarity and regularity of real-valued functions |
| Journal |
Applied and Computational Mathematics 5 (2006), no.1, 79-93 |
| Links |
Preprint : Optimization Online, UB |
| Authors |
A. Y. Kruger |
| Title |
Stationarity and regularity concepts for set systems |
| Booktitle |
IFIP International Federation for Information Processing, Vol. 202, Systems, Control, Modeling and Optimization |
| Editors |
F. Ceragioli, A. Dontchev, H. Furuta, K. Marti, L. Pandolfi |
| Published |
Boston: Springer, 2006, 205-214 |
| Links |
Preprint |
2005
| Authors |
A. Y. Kruger |
| Title |
Stationarity and regularity of set systems |
| Journal |
Pacific Journal of Optimization 1 (2005), 101-126 |
| Links |
Yokohama Publishers Preprint : Optimization Online, UB |
2004
| Authors |
A. Y. Kruger |
| Title |
Weak
stationarity: eliminating the gap between necessary and sufficient conditions |
| Journal |
Optimization: A Journal of Mathematical Programming and Operations Research 53 (2004), 147-164 |
| Links |
 Taylor & Francis Preprint : Optimization Online, UB |
| Authors |
A. Y. Kruger |
| Title |
About stationarity and regularity
of real-valued functions |
| Booktitle |
Proceedings of the 6th International Conference on Optimization: Techniques and Applications (ICOTA6),
Ballarat, December 2004 |
| Editors |
Alex Rubinov & Moshe Sniedovich |
| Published |
University of Ballarat, 2004, ISBN 1876851155,
Article index number 199, 6 pp. |
| Links |
View PDF |
2003
| Authors |
A. Y. Kruger |
| Title |
On
Fréchet subdifferentials |
| Journal |
Journal of Mathematical Sciences 116 (2003), 3325-3358 |
| Links |
Preprint |
2002| Authors |
A. Y. Kruger |
| Title |
Strict
(ε,δ)-subdifferentials and extremality conditions |
| Journal |
Optimization: A Journal of Mathematical Programming and Operations Research 51 (2002), 539-554 |
| Links |
Taylor & Francis Preprint |
2000
| Authors |
A. Y. Kruger |
| Title |
Strict (ε,δ)-semidifferentials and extremality
of sets and functions |
| Journal |
Doklady Natsionalnoi Akademii Nauk Belarusi 44 (2000),
no.2, 21-24 (in Russian) |
| Links |
View PDF |
1999
| Authors |
A. Y. Kruger |
| Title |
Strict (ε,δ)-semidifferentials and extremality conditions |
| Booktitle |
Algebraic Analysis & Related Topics |
| Published |
Warsaw, 1999, 1-7 |
| Links |
View PDF |
1998
| Authors |
A. Y. Kruger |
| Title |
About extremality of sets systems |
| Journal |
Doklady Natsionalnoi Akademii Nauk Belarusi 42 (1998),
no.1, 24-28 (in Russian) |
| Links |
View PDF |
| Authors |
A. Y. Kruger |
| Title |
On necessary and sufficient extremality conditions |
| Editors |
I. V. Gaishun |
| Booktitle |
Dynamical Systems: Stability, Control, Optimization/
September 28 - October 4, 1998, Minsk, Belarus, Vol. 2 |
| Published |
Minsk: Institute of Mathematics of National Academy
of Sciences of Belarus, 1998, 165-168 |
| Links |
View PDF |
1997| Authors |
A. Y. Kruger |
| Title |
Strict ε-semidifferentials and extremality conditions |
| Journal |
Doklady Natsionalnoi Akademii Nauk Belarusi 41 (1997), no.3,
21-26 (in Russian) |
| Links |
View PDF |
1996| Authors |
A. Y. Kruger |
| Title |
On calculus of strict ε-semidifferentials |
| Journal |
Doklady Natsionalnoi Akademii Nauk Belarusi 40 (1996), no.4,
34-39 (in Russian) |
| Links |
View PDF |
| Authors |
A. Y. Kruger |
| Title |
Strict ε-semidifferentials and differentiating
set-valued mappings |
| Journal |
Doklady Natsionalnoi Akademii Nauk Belarusi 40 (1996), no.6,
38-43 (in Russian) |
| Links |
View PDF |
1991
| Authors |
A. Y.Kruger |
| Title |
On differentiating nonconvex functions |
| Booktitle |
Nonsmooth Analysis and its Applications to Mathematical Economics |
| Published |
Baku, 1991, 25
(in Russian) |
1989
| Authors |
A. Y. Kruger |
| Title |
On necessary and sufficient extremality conditions in nonsmooth problems |
| Booktitle |
Methods of Mathematical Programming and Software |
| Published |
Sverdlovsk, 1989, 139-140 (in Russian) |
| Links |
View PDF |
1988
| Authors |
A. Y. Kruger |
| Title |
A covering theorem for set-valued mappings |
| Journal |
Optimization: A Journal of Mathematical Programming and Operations Research 19 (1988), 763-780 |
| Links |
DOI: 10.1080/02331938808843391 |
| Authors |
A. Y. Kruger, B. S. Mordukhovich |
| Title |
Generalized differentials and conditions of an extremum
in problems of nonsmooth optimization |
| Booktitle |
Optimization Methods in Economics & Mathematical
Modeling |
| Published |
Moscow, 1988, 134-157 (in Russian) |
| Authors |
A. Y. Kruger |
| Title |
On necessary and sufficient extremality conditions |
| Booktitle |
Problems of Theoretical Cybernetics, Part 1 |
| Published |
Gorky, 1988, 185 |
1986
| Authors |
A. Y. Kruger |
| Title |
On calculus formulas for e-semidifferentials |
| Booktitle |
School on the Theory of Operators in Functional Spaces |
| Published |
Chelyabinsk, 1986, 54
(in Russian) |
1985
| Authors |
A. Y. Kruger |
| Title |
Generalized differentials of nonsmooth functions
and necessary conditions for an extremum |
| Journal |
Sibirskii Matematicheskii Zhurnal 26 (1985), no. 3,
78-90 (in Russian) |
| Translation |
Siberian Mathematical Journal 26 (1985), 370-379 |
| Links |
View PDF |
| Authors |
A. Y. Kruger |
| Title |
Properties of generalized differentials |
| Journal |
Sibirskii Matematicheskii Zhurnal 26 (1985), no. 6,
54-66 (in Russian) |
| Translation |
Siberian Mathematical Journal 26 (1985), 822-832 |
| Links |
View PDF |
| Authors |
A. Y. Kruger |
| Title |
A covering theorem for set-valued mappings |
| Number |
Minsk, 1985. Deposited in VINITI no. 4613-85 (in
Russian) |
| Links |
Get BibTeX
entry  View DJVU |
| Authors |
A. Y. Kruger |
| Title |
A covering theorem and optimal control of nonsmooth systems |
| Booktitle |
V All-Union Conf. on Control in Mechanical Systems |
| Published |
Khazan, 1985, 45
(in Russian) |
| Authors |
A. Y. Kruger |
| Title |
On necessary optimality conditions of an extremum in problems of nondifferentiable programming |
| Booktitle |
VII All-Union Conf. Problems of Theoretical Cybernetics, Part. 2 |
| Published |
Irkhutsk, 1985, 66-67
(in Russian) |
1982
| Authors |
A. Y. Kruger |
| Title |
On characterizing the covering property for nonsmooth operators |
| Booktitle |
School on the Theory of Operators in Functional Spaces |
| Published |
Minsk, 1982, 94-95 (in Russian) |
| Links |
View PDF |
| Authors |
A. Y. Kruger |
| Title |
On necessary optimality conditions in nonsmooth problems |
| Booktitle |
III Conf. of Young Scientists of Transcaucasian Republics on Automatic Control |
| Published |
Tbilisi, 1982, 48-50
(in Russian) |
| Links |
View PDF |
1981
| Authors |
A. Y. Kruger |
| Title |
ε-semidifferentials and ε-normal elements |
| Number |
Minsk, 1981. Deposited in VINITI no. 1331-81 (in
Russian) |
| Files |
Get BibTeX
entry View PDF |
| Authors |
A. Y. Kruger |
| Title |
Generalized differentials of nonsmooth functions |
| Number |
Minsk, 1981. Deposited in VINITI no. 1332-81 (in
Russian) |
| Links |
Get BibTeX
entry View PDF |
| Authors |
A. Y. Kruger |
| Title |
Necessary conditions of an extremum in problems of
nonsmooth optimization |
| Number |
Minsk, 1981. Deposited in VINITI no. 1333-81 (in
Russian) |
| Links |
Get BibTeX
entry View PDF |
1980
| Authors |
A. Y. Kruger, B. S. Mordukhovich |
| Title |
Generalized normals and derivatives and necessary
conditions of an extremum in problems of nondifferentiable programming |
| Number |
Minsk, 1980. Deposited in VINITI I - no. 408-80,
II - no. 494-80 (in Russian) |
| Links |
Get BibTeX
entry View DJVU I View DJVU II |
| Authors |
A. Y. Kruger, B. S. Mordukhovich |
| Title |
Extremal points and the Euler equation in nonsmooth
optimization problems |
| Journal |
Doklady Akademii Nauk BSSR, 24 (1980), no. 8,
684-687 (in Russian) |
| Links |
View PDF |
| Authors |
A. Y. Kruger |
| Title |
About the generalized differentials |
| Booktitle |
V Rep. Conf. of Mathematicians of Belarus, Vol. II |
| Published |
Grodno, 1980, 117-118
(in Russian) |
1979
| Authors |
A. Y. Kruger, B. S. Mordukhovich |
| Title |
New necessary optimality conditions in problems of nondifferentiable programming |
| Booktitle |
Numerical Methods of Nonlinear Programming |
| Published |
Kharkov, 1979, 116-119 (in Russian) |
| Links |
View PDF |
| Authors |
A. Y. Kruger |
| Title |
On necessary optimality conditions in nonsmooth problems of optimal control |
| Booktitle |
Optimal Control in Mechanical Systems, Vol. II |
| Published |
Kiev, 1979, 38-39 (in Russian) |
| Links |
View PDF |
1978
| Authors |
A. Y. Kruger |
| Title |
Necessary conditions for weak minimum in the generalized problem of Boltza |
| Journal |
Vestnik Belorusskogo
Universiteta. Ser. 1. Fizika, Matematika (1978), no. 2, 20-23 (in Russian) |
| Links |
|
| Authors |
A. Y. Kruger |
| Title |
Some theorems on closures of functions with applications to subdifferential calculus |
| Journal |
Izvestia Akademii Nauk BSSR, Ser. Phys.-Mat. Nauk (1978), no. 4, 29-33 (in Russian) |
| Links |
View PDF |
| Authors |
A. Y. Kruger, B. S. Mordukhovich |
| Title |
Minimization of nonsmooth functionals in problems
of optimal control |
| Journal |
Izvestia Akademii Nauk SSSR. Technicheskaia Kybernetyka (1978),
no. 4, 176-182 (in Russian) |
| Translation |
Engineering Cybernetics 16 (1978), 126-133 |
| Links |
View PDF |
| Authors |
A. Y. Kruger |
| Title |
Necessary conditions for an extremum in problems of nonconvex programming in a normed linear space |
| Number |
Minsk, 1978. Deposited in VINITI no. 943-78 (in Russian) |
| Files |
View PDF |
| Authors |
A. Y. Kruger |
| Title |
Local approximations of sets in linear topological spaces |
| Booktitle |
School on the Theory of Operators in Functional Spaces |
| Published |
Minsk, 1978, 73-74 (in Russian) |
| Links |
View PDF |
1977
| Authors |
A. Y. Kruger |
| Title |
A maximum principle in problems of minimization of functionals of intermediate points of a dynamical system |
| Journal |
Vestnik Belorusskogo Universiteta. Ser. 1. Fizika, Matematika (1977), no. 2, 75-78 (in Russian) |
| Links |
View PDF |
| Authors |
A. Y. Kruger |
| Title |
Subdifferentials of nonconvex functions and generalized
directional derivatives |
| Number |
Minsk, 1977. Deposited in VINITI no. 2661-77 (in
Russian) |
| Links |
Get BibTeX
entry View DJVU |
| Authors |
A. Y. Kruger |
| Title |
Generalized directional derivatives and necessary conditions of an extremum in nonconvex mathematical programming problems |
| Booktitle |
IV All-Union Conf. on Problems of Theoretical Cybernetics |
| Published |
Novosibirsk, 1977, 60-62 (in Russian) |
| Links |
View PDF |
1976
| Authors |
A. Y. Kruger |
| Title |
On the problem of seeking the root of a function |
| Journal |
Vestnik Belorusskogo
Universiteta. Ser. 1. Fizika, Matematika (1976), no. 1, 3-6 (in Russian) |
| Links |
View PDF |
| Authors |
B. S. Mordukhovich, A. Y. Kruger |
| Title |
Necessary optimality conditions in a problem of terminal
control with nonfunctional constraints |
| Journal |
Doklady Akademii Nauk BSSR 20 (1976), no. 12,
1064-1067 (in Russian) |
| Links |
View PDF |
1975
| Authors |
A. Y. Kruger |
| Title |
About optimal search for the root of a function |
| Journal |
Vestnik Belorusskogo
Universiteta. Ser. 1. Fizika, Matematika (1975), no. 3, 3-4 (in Russian) |
| Links |
View PDF |
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