Edit Profile (opens in new tab) Shikhman, Vladimir Co-Author Distance Author ID: shikhman.vladimir Published as: Shikhman, Vladimir; Shikhman, V. External Links: MGP Documents Indexed: 43 Publications since 2008, including 2 Books and 4 Additional arXiv Preprints Co-Authors: 14 Co-Authors with 35 Joint Publications 296 Co-Co-Authors all top 5 Co-Authors 4 single-authored 13 Jongen, Hubertus Th. 7 Dorsch, Dominik 7 Lämmel, Sebastian 7 Nesterov, Yurii 4 Müller, David I. 4 Stein, Oliver 3 Rückmann, Jan-Joachim 2 Guerra Vázquez, Francisco 2 Lampariello, Lorenzo 2 Sagratella, Simone 1 Ginsburgh, Victor A. 1 Gómez Bofill, Walter 1 Ivanov Todorov, Maxim 1 Sasso, Valerio Giuseppe 1 Steffensen, Sonja all top 5 Serials 5 SIAM Journal on Optimization 4 Journal of Optimization Theory and Applications 3 Optimization 3 Journal of Global Optimization 3 Mathematical Programming. Series A. Series B 3 Set-Valued and Variational Analysis 3 Pure and Applied Functional Analysis 2 Journal of the Operations Research Society of China 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Economics 1 Mathematics of Operations Research 1 European Journal of Operational Research 1 Mathematical Methods of Operations Research 1 Computational Management Science 1 Pacific Journal of Optimization 1 Optimization Letters 1 Springer Optimization and Its Applications all top 5 Fields 40 Operations research, mathematical programming (90-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 2 Real functions (26-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 146 times in 95 Documents Cited by ▼ Year ▼ Mathematical programs with vanishing constraints: critical point theory. Zbl 1254.90224 Dorsch, Dominik; Shikhman, Vladimir; Stein, Oliver 21 2012 Quasi-monotone subgradient methods for nonsmooth convex minimization. Zbl 1330.90078 Nesterov, Yu.; Shikhman, V. 19 2015 MPCC: critical point theory. Zbl 1229.90139 Jongen, H. Th.; Rückmann, Jan.-J.; Shikhman, V. 14 2009 Characterization of strong stability for C-stationary points in MPCC. Zbl 1250.90096 Jongen, H. Th.; Shikhman, V.; Steffensen, S. 13 2012 Topological aspects of nonsmooth optimization. Zbl 1234.90001 Shikhman, Vladimir 11 2012 On stability of the feasible set of a mathematical problem with complementarity problems. Zbl 1213.90242 Jongen, H. Th.; Rückmann, Jan.-J.; Shikhman, V. 11 2009 General semi-infinite programming: symmetric Mangasarian-Fromovitz constraint qualification and the closure of the feasible set. Zbl 1229.90244 Guerra-Vázquez, F.; Jongen, H. Th.; Shikhman, V. 10 2010 On structure and computation of generalized Nash equilibria. Zbl 1266.49050 Dorsch, D.; Jongen, H. Th.; Shikhman, V. 10 2013 On intrinsic complexity of Nash equilibrium problems and bilevel optimization. Zbl 1295.91007 Dorsch, D.; Jongen, H. T.; Shikhman, V. 10 2013 Bilevel optimization: on the structure of the feasible set. Zbl 1286.90150 Jongen, H. Th.; Shikhman, V. 9 2012 Dual subgradient method with averaging for optimal resource allocation. Zbl 1403.90550 Nesterov, Yu.; Shikhman, V. 6 2018 Computation of Fisher-Gale equilibrium by auction. Zbl 1416.91139 Nesterov, Yurii; Shikhman, Vladimir 5 2018 Generalized semi-infinite programming: the nonsmooth symmetric reduction ansatz. Zbl 1223.90072 Jongen, H. Th.; Shikhman, V. 4 2011 On jet-convex functions and their tensor products. Zbl 1248.26017 Shikhman, Vladimir; Stein, Oliver 3 2012 General semi-infinite programming: critical point theory. Zbl 1242.90271 Jongen, H. Th.; Shikhman, V. 3 2011 Excessive revenue model of competitive markets. Zbl 1367.90087 Nesterov, Yurii; Shikhman, Vladimir 3 2016 Sufficient optimality conditions hold for almost all nonlinear semidefinite programs. Zbl 1358.90090 Dorsch, Dominik; Gómez, Walter; Shikhman, Vladimir 3 2016 Distributed price adjustment based on convex analysis. Zbl 1371.90105 Nesterov, Yurii; Shikhman, Vladimir 3 2017 On nondegenerate M-stationary points for sparsity constrained nonlinear optimization. Zbl 1486.90191 Lämmel, S.; Shikhman, V. 3 2022 Constrained optimization: Projected gradient flows. Zbl 1226.90107 Shikhman, V.; Stein, O. 2 2009 Topological approach to mathematical programs with switching constraints. Zbl 1489.90142 Shikhman, Vladimir 2 2022 Dynamic pricing under nested logit demand. Zbl 1478.90090 Müller, David; Nesterov, Yurii; Shikhman, Vladimir 2 2021 On topological properties of min-max functions. Zbl 1287.90086 Dorsch, Dominik; Jongen, Hubertus Th.; Shikhman, Vladimir 1 2011 On the local representation of piecewise smooth equations as a Lipschitz manifold. Zbl 1334.49049 Dorsch, D.; Jongen, H. Th.; Rückmann, Jan-J.; Shikhman, V. 1 2014 Interactions between bilevel optimization and Nash games. Zbl 1479.91014 Lampariello, Lorenzo; Sagratella, Simone; Shikhman, Vladimir; Stein, Oliver 1 2020 Discrete choice prox-functions on the simplex. Zbl 1492.90129 Müller, David; Nesterov, Yurii; Shikhman, Vladimir 1 2022 On nondegenerate M-stationary points for sparsity constrained nonlinear optimization. Zbl 1486.90191 Lämmel, S.; Shikhman, V. 3 2022 Topological approach to mathematical programs with switching constraints. Zbl 1489.90142 Shikhman, Vladimir 2 2022 Discrete choice prox-functions on the simplex. Zbl 1492.90129 Müller, David; Nesterov, Yurii; Shikhman, Vladimir 1 2022 Dynamic pricing under nested logit demand. Zbl 1478.90090 Müller, David; Nesterov, Yurii; Shikhman, Vladimir 2 2021 Interactions between bilevel optimization and Nash games. Zbl 1479.91014 Lampariello, Lorenzo; Sagratella, Simone; Shikhman, Vladimir; Stein, Oliver 1 2020 Dual subgradient method with averaging for optimal resource allocation. Zbl 1403.90550 Nesterov, Yu.; Shikhman, V. 6 2018 Computation of Fisher-Gale equilibrium by auction. Zbl 1416.91139 Nesterov, Yurii; Shikhman, Vladimir 5 2018 Distributed price adjustment based on convex analysis. Zbl 1371.90105 Nesterov, Yurii; Shikhman, Vladimir 3 2017 Excessive revenue model of competitive markets. Zbl 1367.90087 Nesterov, Yurii; Shikhman, Vladimir 3 2016 Sufficient optimality conditions hold for almost all nonlinear semidefinite programs. Zbl 1358.90090 Dorsch, Dominik; Gómez, Walter; Shikhman, Vladimir 3 2016 Quasi-monotone subgradient methods for nonsmooth convex minimization. Zbl 1330.90078 Nesterov, Yu.; Shikhman, V. 19 2015 On the local representation of piecewise smooth equations as a Lipschitz manifold. Zbl 1334.49049 Dorsch, D.; Jongen, H. Th.; Rückmann, Jan-J.; Shikhman, V. 1 2014 On structure and computation of generalized Nash equilibria. Zbl 1266.49050 Dorsch, D.; Jongen, H. Th.; Shikhman, V. 10 2013 On intrinsic complexity of Nash equilibrium problems and bilevel optimization. Zbl 1295.91007 Dorsch, D.; Jongen, H. T.; Shikhman, V. 10 2013 Mathematical programs with vanishing constraints: critical point theory. Zbl 1254.90224 Dorsch, Dominik; Shikhman, Vladimir; Stein, Oliver 21 2012 Characterization of strong stability for C-stationary points in MPCC. Zbl 1250.90096 Jongen, H. Th.; Shikhman, V.; Steffensen, S. 13 2012 Topological aspects of nonsmooth optimization. Zbl 1234.90001 Shikhman, Vladimir 11 2012 Bilevel optimization: on the structure of the feasible set. Zbl 1286.90150 Jongen, H. Th.; Shikhman, V. 9 2012 On jet-convex functions and their tensor products. Zbl 1248.26017 Shikhman, Vladimir; Stein, Oliver 3 2012 Generalized semi-infinite programming: the nonsmooth symmetric reduction ansatz. Zbl 1223.90072 Jongen, H. Th.; Shikhman, V. 4 2011 General semi-infinite programming: critical point theory. Zbl 1242.90271 Jongen, H. Th.; Shikhman, V. 3 2011 On topological properties of min-max functions. Zbl 1287.90086 Dorsch, Dominik; Jongen, Hubertus Th.; Shikhman, Vladimir 1 2011 General semi-infinite programming: symmetric Mangasarian-Fromovitz constraint qualification and the closure of the feasible set. Zbl 1229.90244 Guerra-Vázquez, F.; Jongen, H. Th.; Shikhman, V. 10 2010 MPCC: critical point theory. Zbl 1229.90139 Jongen, H. Th.; Rückmann, Jan.-J.; Shikhman, V. 14 2009 On stability of the feasible set of a mathematical problem with complementarity problems. Zbl 1213.90242 Jongen, H. Th.; Rückmann, Jan.-J.; Shikhman, V. 11 2009 Constrained optimization: Projected gradient flows. Zbl 1226.90107 Shikhman, V.; Stein, O. 2 2009 all cited Publications top 5 cited Publications all top 5 Cited by 142 Authors 14 Shikhman, Vladimir 7 Stein, Oliver 5 Hernández Escobar, Daniel 5 Rückmann, Jan-Joachim 4 Dorsch, Dominik 4 Dreves, Axel 4 Hoheisel, Tim 4 Kanzi, Nader 4 Kanzow, Christian 3 Aussel, Didier 3 Chen, Yu 3 Floudas, Christodoulos Achilleus 3 Hu, Qingjie 3 Jongen, Hubertus Th. 3 Lämmel, Sebastian 3 Misener, Ruth 3 Nesterov, Yurii 3 Sagratella, Simone 2 Achtziger, Wolfgang 2 Antczak, Tadeusz 2 Bouza-Allende, Gemayqzel 2 Červinka, Michal 2 Chieu, Nguyen Huy 2 Dempe, Stephan 2 Fischer, Andreas 2 Gasnikov, Aleksandr V. 2 Gfrerer, Helmut 2 Günzel, Harald 2 Jafariani, Zahra 2 Kroer, Christian 2 Lampariello, Lorenzo 2 Lee, Gue Myung 2 Mitsos, Alexander 2 Müller, David I. 2 Outrata, Jiří V. 2 Parizi, Maryam Naderi 2 Schwartz, Alexandra 2 Sodomka, Eric 2 Stier-Moses, Nicolás E. 2 Sudermann-Merx, Nathan 2 Sultana, Asrifa 2 Tung, Le Thanh 2 Wang, Jiguang 2 Zhu, Zhibin 1 Adjiman, Claire S. 1 Allaire, Grégoire 1 Ardali, Ali Ansari 1 Arutyunov, Aram Vladimirovic 1 Benko, Matus 1 Binois, Mickaël 1 Bock, Hans Georg 1 Bolte, Jérôme 1 Boţ, Radu Ioan 1 Boukouvala, Fani 1 Chen, Zhangyou 1 Chen, Zhe 1 Chen, Zhongwen 1 Chi, Xiaoni 1 Conitzer, Vincent 1 Cui, Ying 1 Dapogny, Charles 1 Diehl, Moritz Mathias 1 Djelassi, Hatim 1 Dussault, Jean-Pierre 1 Dvurechensky, Pavel E. 1 Facchinei, Francisco 1 Feppon, Florian 1 Flåm, Sjur Didrik 1 Fu, Wenhao 1 Gómez Bofill, Walter 1 Habbal, Abderrahmane 1 Haddou, Mounir 1 Hang, Dinh Dieu 1 Herrich, Markus 1 Höschle, Hanspeter 1 Hota, Ashish R. 1 Houska, Boris 1 Izmailov, Alekseĭ F. 1 Jahanshahloo, Almas 1 Jalota, Devansh 1 Jäschke, Johannes 1 Jia, Wensheng 1 Ke, Rongzhu 1 Kirst, Peter 1 Klatte, Diethard 1 Kleniati, Polyxeni-Margarita 1 Kočvara, Michal 1 Kruger, Alexander Y. 1 Kungurtsev, Vyacheslav 1 Lapucci, Matteo 1 Le Cadre, Hélène 1 Le, Tam 1 Lepaul, Sébastien 1 Li, Meixia 1 Liu, Andrew L. 1 Liu, Luping 1 Liu, Sanyang 1 Long, Xianjun 1 López-Cerdá, Marco Antonio 1 Migot, Tangi ...and 42 more Authors all top 5 Cited in 38 Serials 9 Journal of Optimization Theory and Applications 9 Journal of Global Optimization 8 Mathematical Programming. Series A. Series B 7 Optimization 6 European Journal of Operational Research 5 Computational Optimization and Applications 5 Set-Valued and Variational Analysis 4 SIAM Journal on Optimization 3 Annals of Operations Research 2 Operations Research 2 Abstract and Applied Analysis 2 Optimization Methods & Software 2 Journal of Inequalities and Applications 2 Computational Management Science 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Operations Research 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Acta Mathematicae Applicatae Sinica 1 Acta Mathematicae Applicatae Sinica. English Series 1 Games and Economic Behavior 1 Computational and Applied Mathematics 1 Top 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Methods of Operations Research 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Optimization and Engineering 1 RAIRO. Operations Research 1 Journal of Applied Mathematics and Computing 1 4OR 1 International Journal of Numerical Analysis and Modeling 1 Journal of Industrial and Management Optimization 1 GAMM-Mitteilungen 1 Optimization Letters 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Mathematical Extension 1 EURO Journal on Computational Optimization 1 Journal of Nonlinear and Variational Analysis all top 5 Cited in 11 Fields 83 Operations research, mathematical programming (90-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Numerical analysis (65-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX) Citations by Year