Edit Profile (opens in new tab) Balashov, Maxim Viktorovich Co-Author Distance Author ID: balashov.maxim-viktorovich Published as: Balashov, M. V.; Balashov, Maxim V.; Balashov, Maksim Viktorovich; Balashov, Maxim Viktorovich more...less Documents Indexed: 50 Publications since 2000, including 1 Book Co-Authors: 21 Co-Authors with 22 Joint Publications 941 Co-Co-Authors all top 5 Co-Authors 28 single-authored 7 Ivanov, Grigorii E. 6 Repovš, Dušan D. 3 Polovinkin, Evgenii Sergeevich 2 Golubev, Maxim O. 2 Kamalov, R. A. 2 Konstantinov, R. V. 2 Tremba, Andrey Aleksandrovich 1 Besov, Oleg Vladimirovich 1 Bogdanov, Ilya I. 1 Diesperov, V. N. 1 Golubov, D. I. 1 Goryainov, Viktor V. 1 Khorev, A. V. 1 Konovalov, S. P. 1 Kurzhanskiĭ, Aleksandr Borisovich 1 Nasyrov, Semen R. 1 Polyak, Boris Teodorovich 1 Sergeev, Armen Glebovich 1 Shabunin, M. I. 1 Starkov, Victor V. 1 Tikhomirov, Vladimir Mikhaĭlovich all top 5 Serials 10 Mathematical Notes 10 Journal of Convex Analysis 7 Journal of Mathematical Analysis and Applications 5 Computational Mathematics and Mathematical Physics 5 Sbornik: Mathematics 2 Journal of Mathematical Sciences (New York) 2 Izvestiya: Mathematics 2 Set-Valued and Variational Analysis 1 Russian Mathematical Surveys 1 Numerical Functional Analysis and Optimization 1 Optimization 1 Optimization Letters 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Vestnik Rossiĭskikh Universitetov. Matematika all top 5 Fields 23 Functional analysis (46-XX) 22 Operations research, mathematical programming (90-XX) 20 Convex and discrete geometry (52-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 9 Real functions (26-XX) 8 Approximations and expansions (41-XX) 5 Operator theory (47-XX) 5 Numerical analysis (65-XX) 4 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 293 times in 162 Documents Cited by ▼ Year ▼ Elements of convex and strongly convex analysis. 2nd ed. (Элементы выпуклого и силпно выпуклого анализа.) Zbl 1181.26028Polovinkin, E. S.; Balashov, M. V. 70 2007 \(M\)-strongly convex subsets and their generating sets. Zbl 1004.46014Balashov, M. V.; Polovinkin, E. S. 37 2000 Weakly convex and proximally smooth sets in Banach spaces. Zbl 1179.46013Balashov, M. V.; Ivanov, G. E. 29 2009 Gradient projection and conditional gradient methods for constrained nonconvex minimization. Zbl 1437.49024Balashov, M. V.; Polyak, B. T.; Tremba, A. A. 14 2020 About the gradient projection algorithm for a strongly convex function and a proximally smooth set. Zbl 1375.46056Balashov, Maxim V. 13 2017 Uniform convexity and the splitting problem for selections. Zbl 1180.54041Balashov, Maxim V.; Repovš, Dušan 12 2009 An algorithm for the numerical solution of linear differential games. Zbl 1128.91305Polovinkin, E. S.; Ivanov, G. E.; Balashov, M. V.; Konstantinov, R. V.; Khorev, A. V. 10 2001 About the Lipschitz property of the metric projection in the Hilbert space. Zbl 1253.46075Balashov, Maxim V.; Golubev, Maxim O. 9 2012 On farthest points of sets. Zbl 1124.46007Balashov, M. V.; Ivanov, G. E. 8 2006 Properties of the metric projection on weakly Vial-convex sets and parametrization of set-valued mappings with weakly convex images. Zbl 1117.52001Balashov, M. V.; Ivanov, G. E. 8 2006 Maximization of a function with Lipschitz continuous gradient. Zbl 1369.90165Balashov, M. V. 8 2015 Antidistance and antiprojection in the Hilbert space. Zbl 1334.49046Balashov, M. V. 6 2015 On the \(P\)-property of convex compact sets. Zbl 1052.52004Balashov, M. V. 5 2002 Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order. Zbl 1220.46010Balashov, Maxim V.; Repovš, Dušan 5 2011 The gradient projection algorithm for a proximally smooth set and a function with Lipschitz continuous gradient. Zbl 1447.90036Balashov, Maxim V. 5 2020 Weakly convex sets and modulus of nonconvexity. Zbl 1206.52004Balashov, Maxim V.; Repovš, Dušan 5 2010 Weak convexity of the distance function. Zbl 1276.46061Balashov, Maxim V. 4 2013 On Pliś metric on the space of strictly convex compacta. Zbl 1251.54005Balashov, Maxim Viktorovich; Repovs, Dusan 4 2012 On the splitting problem for selections. Zbl 1169.54007Balashov, Maxim V.; Repovš, Dušan 4 2009 The farthest and the nearest points of sets. Zbl 1411.41021Balashov, Maxim V.; Ivanov, Grigorii E. 4 2018 On polyhedral approximations in an \(n\)-dimensional space. Zbl 1356.41008Balashov, M. V. 4 2016 An analogue of the Kreĭn-Milman theorem for a strongly convex hull in a Hilbert space. Zbl 1028.46026Balashov, M. V. 3 2002 Polyhedral approximations of strictly convex compacta. Zbl 1226.52001Balashov, Maxim V.; Repovš, Dušan 3 2011 On the gradient projection method for weakly convex functions on a proximally smooth set. Zbl 1456.90155Balashov, M. V. 3 2020 The gradient projection algorithm for smooth sets and functions in nonconvex case. Zbl 1473.90124Balashov, Maxim V. 3 2021 On the geometric difference of multivalued mappings. Zbl 1037.47034Balashov, M. V. 2 2001 Lipschitz continuous parametrizations of set-valued maps with weakly convex images. Zbl 1143.52003Ivanov, G. E.; Balashov, M. V. 2 2007 The Pliś metric and Lipschitz stability of minimization problems. Zbl 1423.49023Balashov, Maksim Viktorovich 2 2019 Error bound conditions and convergence of optimization methods on smooth and proximally smooth manifolds. Zbl 1490.90224Balashov, M. V.; Tremba, A. A. 2 2022 Gradient projection method on matrix manifolds. Zbl 1452.90248Balashov, M. V. 2 2020 Lipschitz stability of extremal problems with a strongly convex set. Zbl 1440.46020Balashov, Maxim V. 1 2020 Properties of \(P\) -sets and trapped compact convex sets. Zbl 1155.52301Balashov, M. V.; Bogdanov, I. I. 1 2008 Proximal smoothness of a set with the Lipschitz metric projection. Zbl 1315.46016Balashov, Maxim V. 1 2013 Weak concavity of the antidistance function. Zbl 1311.49034Balashov, Maxim V.; Golubev, Maxim O. 1 2014 Embedding of a homothete in a convex compactum: an algorithm and its convergence. Zbl 1513.90136Balashov, Maksim Viktorovich 1 2022 Approximate calculation of the Chebyshev center for a convex compact set in \(\mathbb{R}^n\). Zbl 1486.52005Balashov, Maxim V. 1 2022 Intersection of a set with a hyperplane. Zbl 1342.49022Balashov, Maxim V. 1 2016 Error bound conditions and convergence of optimization methods on smooth and proximally smooth manifolds. Zbl 1490.90224Balashov, M. V.; Tremba, A. A. 2 2022 Embedding of a homothete in a convex compactum: an algorithm and its convergence. Zbl 1513.90136Balashov, Maksim Viktorovich 1 2022 Approximate calculation of the Chebyshev center for a convex compact set in \(\mathbb{R}^n\). Zbl 1486.52005Balashov, Maxim V. 1 2022 The gradient projection algorithm for smooth sets and functions in nonconvex case. Zbl 1473.90124Balashov, Maxim V. 3 2021 Gradient projection and conditional gradient methods for constrained nonconvex minimization. Zbl 1437.49024Balashov, M. V.; Polyak, B. T.; Tremba, A. A. 14 2020 The gradient projection algorithm for a proximally smooth set and a function with Lipschitz continuous gradient. Zbl 1447.90036Balashov, Maxim V. 5 2020 On the gradient projection method for weakly convex functions on a proximally smooth set. Zbl 1456.90155Balashov, M. V. 3 2020 Gradient projection method on matrix manifolds. Zbl 1452.90248Balashov, M. V. 2 2020 Lipschitz stability of extremal problems with a strongly convex set. Zbl 1440.46020Balashov, Maxim V. 1 2020 The Pliś metric and Lipschitz stability of minimization problems. Zbl 1423.49023Balashov, Maksim Viktorovich 2 2019 The farthest and the nearest points of sets. Zbl 1411.41021Balashov, Maxim V.; Ivanov, Grigorii E. 4 2018 About the gradient projection algorithm for a strongly convex function and a proximally smooth set. Zbl 1375.46056Balashov, Maxim V. 13 2017 On polyhedral approximations in an \(n\)-dimensional space. Zbl 1356.41008Balashov, M. V. 4 2016 Intersection of a set with a hyperplane. Zbl 1342.49022Balashov, Maxim V. 1 2016 Maximization of a function with Lipschitz continuous gradient. Zbl 1369.90165Balashov, M. V. 8 2015 Antidistance and antiprojection in the Hilbert space. Zbl 1334.49046Balashov, M. V. 6 2015 Weak concavity of the antidistance function. Zbl 1311.49034Balashov, Maxim V.; Golubev, Maxim O. 1 2014 Weak convexity of the distance function. Zbl 1276.46061Balashov, Maxim V. 4 2013 Proximal smoothness of a set with the Lipschitz metric projection. Zbl 1315.46016Balashov, Maxim V. 1 2013 About the Lipschitz property of the metric projection in the Hilbert space. Zbl 1253.46075Balashov, Maxim V.; Golubev, Maxim O. 9 2012 On Pliś metric on the space of strictly convex compacta. Zbl 1251.54005Balashov, Maxim Viktorovich; Repovs, Dusan 4 2012 Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order. Zbl 1220.46010Balashov, Maxim V.; Repovš, Dušan 5 2011 Polyhedral approximations of strictly convex compacta. Zbl 1226.52001Balashov, Maxim V.; Repovš, Dušan 3 2011 Weakly convex sets and modulus of nonconvexity. Zbl 1206.52004Balashov, Maxim V.; Repovš, Dušan 5 2010 Weakly convex and proximally smooth sets in Banach spaces. Zbl 1179.46013Balashov, M. V.; Ivanov, G. E. 29 2009 Uniform convexity and the splitting problem for selections. Zbl 1180.54041Balashov, Maxim V.; Repovš, Dušan 12 2009 On the splitting problem for selections. Zbl 1169.54007Balashov, Maxim V.; Repovš, Dušan 4 2009 Properties of \(P\) -sets and trapped compact convex sets. Zbl 1155.52301Balashov, M. V.; Bogdanov, I. I. 1 2008 Elements of convex and strongly convex analysis. 2nd ed. (Элементы выпуклого и силпно выпуклого анализа.) Zbl 1181.26028Polovinkin, E. S.; Balashov, M. V. 70 2007 Lipschitz continuous parametrizations of set-valued maps with weakly convex images. Zbl 1143.52003Ivanov, G. E.; Balashov, M. V. 2 2007 On farthest points of sets. Zbl 1124.46007Balashov, M. V.; Ivanov, G. E. 8 2006 Properties of the metric projection on weakly Vial-convex sets and parametrization of set-valued mappings with weakly convex images. Zbl 1117.52001Balashov, M. V.; Ivanov, G. E. 8 2006 On the \(P\)-property of convex compact sets. Zbl 1052.52004Balashov, M. V. 5 2002 An analogue of the Kreĭn-Milman theorem for a strongly convex hull in a Hilbert space. Zbl 1028.46026Balashov, M. V. 3 2002 An algorithm for the numerical solution of linear differential games. Zbl 1128.91305Polovinkin, E. S.; Ivanov, G. E.; Balashov, M. V.; Konstantinov, R. V.; Khorev, A. V. 10 2001 On the geometric difference of multivalued mappings. Zbl 1037.47034Balashov, M. V. 2 2001 \(M\)-strongly convex subsets and their generating sets. Zbl 1004.46014Balashov, M. V.; Polovinkin, E. S. 37 2000 all cited Publications top 5 cited Publications all top 5 Cited by 139 Authors 33 Balashov, Maxim Viktorovich 12 Ivanov, Grigorii E. 10 Dudov, Sergeĭ Ivanovich 8 Osiptsev, Mikhaĭl Anatol’evich 8 Polovinkin, Evgenii Sergeevich 7 Alimov, Alexey R. 7 Thibault, Lionel 5 Repovš, Dušan D. 4 Kurzhanskiĭ, Aleksandr Borisovich 4 Lopushanski, Mariana S. 4 Nacry, Florent 4 Orlov, Igor Vladimirovich 4 Patsko, Valerii S. 4 Ushakov, Vladimir Nikolaevich 3 Ershov, Aleksandr Anatol’evich 3 Ibragimov, Danis N. 3 Kumkov, Sergey S. 3 Lukoyanov, Nikolaĭ Yur’evich 3 Plotnikov, Andreĭ Viktorovich 3 Sirotin, A. N. 3 Tsar’kov, Igor’ Germanovich 2 Adly, Samir 2 Daryin, Alexander N. 2 Dolgopolik, Maxim Vladimirovich 2 Flerov, A. A. 2 Gomoyunov, Mikhail Igorevich 2 Kamalov, R. A. 2 Karasev, Roman N. 2 Komleva, Tatyana A. 2 Konstantinov, Matey 2 Kornev, Dmitriĭ Vasil’evich 2 Meshcheryakova, E. A. 2 Nikol’skiĭ, Mikhaĭl Sergeevich 2 Polyak, Boris Teodorovich 2 Rinaldi, Francesco 2 Sakbaev, Vsevolod Zhanovich 2 Semenov, Pavel Vladimirovič 2 Shirokov, Maksim Evgen’evich 2 Skripnik, Natalia Viktorovna 2 Tremba, Andrey Aleksandrovich 2 Vuong, Phan Tu 2 Zeffiro, Damiano 2 Zlateva, Nadia P. 1 Abramova, Veronika Valer’evna 1 Ansary Karbasy, Saeid 1 Anwary, Mohammad Kazem 1 Arutyunov, Aram Vladimirovic 1 Avkhadiev, Farit Gabidinovich 1 Babenko, Viktor V. 1 Babenko, Vladyslav Fedorovych 1 Baran, I. V. 1 Bednov, Borislav Borisovich 1 Bogdanov, Ilya I. 1 Bomze, Immanuel M. 1 Bui, Vuong 1 Castaing, Charles 1 Chang, Huibin 1 Chorianopoulos, Christos 1 De Bernardi, Carlo Alberto 1 Druzhinin, Yu. Yu. 1 Efremov, Roman V. 1 Fatkhullin, I. F. 1 Galkin, Oleg Evgen’evich 1 Galkina, Svetlana Yur’evna 1 Ganebny, Sergei A. 1 Gerstner, Philipp 1 Golubev, Maxim O. 1 Graf, Sergey Yu. 1 Grzybowski, Jerzy 1 Gudovich, Anastasia Nikolaevna 1 Heuveline, Vincent 1 Kholevo, Aleksandr Semënovich 1 Holmsen, Andreas F. 1 Iranmanesh, Mahdi 1 Ivanov, Grigory M. 1 Ivan’shin, Pëtr Nikolaevich 1 Jahn, Thomas 1 Jourani, Abderrahim 1 Kamenskiĭ, Mikhaĭl Igor’evich 1 Khabibullin, Bulat Nurmievich 1 Khachatryan, Rafik Agasievich 1 Khademzadeh, Hamid Reza 1 Khalilova, Zarema I. 1 Khojasteh, Maryam Saeedi 1 Kuntsevych, Vsevolod Mykhaĭlovych 1 Le Ménec, Stéphane 1 Li, Jicheng 1 Li, Tiejun 1 Li, Wenbo 1 Liu, Xuenian 1 Luk’yanova, L. N. 1 Malozemov, Vasily Nikolaevich 1 Martini, Horst 1 Marynych, Alexander V. 1 Matviĭchuk, Aleksandr Rostislavovich 1 Mazaheri, Hamid 1 Mesyats, A. I. 1 Molchanov, Ilya S. 1 Molchanyuk, Irina V. 1 Moreno, José-Pedro ...and 39 more Authors all top 5 Cited in 64 Serials 18 Mathematical Notes 17 Journal of Mathematical Sciences (New York) 13 Proceedings of the Steklov Institute of Mathematics 11 Journal of Convex Analysis 10 Computational Mathematics and Mathematical Physics 8 Journal of Mathematical Analysis and Applications 5 Sbornik: Mathematics 4 Russian Mathematics 4 Set-Valued and Variational Analysis 3 Ukrainian Mathematical Journal 3 Topology and its Applications 3 Automation and Remote Control 2 Proceedings of the American Mathematical Society 2 Optimization 2 Computational Mathematics and Modeling 2 Journal of Global Optimization 2 SIAM Journal on Optimization 2 Cybernetics and Systems Analysis 2 Topological Methods in Nonlinear Analysis 2 Differential Equations 2 Asian-European Journal of Mathematics 2 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Journal of Computational Physics 1 Linear and Multilinear Algebra 1 Russian Mathematical Surveys 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Prikladnaya Matematika i Mekhanika 1 Theory of Probability and its Applications 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Journal of Optimization Theory and Applications 1 Mathematika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Pacific Journal of Mathematics 1 Siberian Mathematical Journal 1 Transactions of the Moscow Mathematical Society 1 Moscow University Computational Mathematics and Cybernetics 1 Discrete & Computational Geometry 1 Journal of Scientific Computing 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Mathematical Programming. Series A. Series B 1 Vestnik St. Petersburg University. Mathematics 1 Computational Optimization and Applications 1 Journal of Computer and Systems Sciences International 1 Russian Journal of Mathematical Physics 1 Journal of Applied Analysis 1 Doklady Mathematics 1 Computing and Visualization in Science 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 International Game Theory Review 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Fixed Point Theory and Applications 1 Optimization Letters 1 European Journal of Pure and Applied Mathematics 1 International Electronic Journal of Geometry 1 Dynamic Games and Applications 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 1 Problemy Analiza. Issues of Analysis 1 Vestnik Rossiĭskikh Universitetov. Matematika all top 5 Cited in 35 Fields 49 Calculus of variations and optimal control; optimization (49-XX) 40 Functional analysis (46-XX) 40 Convex and discrete geometry (52-XX) 34 Operations research, mathematical programming (90-XX) 29 Approximations and expansions (41-XX) 17 Systems theory; control (93-XX) 16 Operator theory (47-XX) 13 Ordinary differential equations (34-XX) 11 Real functions (26-XX) 11 General topology (54-XX) 11 Numerical analysis (65-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Probability theory and stochastic processes (60-XX) 3 Functions of a complex variable (30-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) Citations by Year