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Balashov, Maxim Viktorovich

Author ID: balashov.maxim-viktorovich Recent zbMATH articles by "Balashov, Maxim Viktorovich"
Published as: Balashov, M. V.; Balashov, Maxim V.; Balashov, Maksim Viktorovich; Balashov, Maxim Viktorovich
Documents Indexed: 52 Publications since 2000, including 1 Book
Co-Authors: 21 Co-Authors with 22 Joint Publications
976 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 334 times in 180 Documents Cited by Year
Elements of convex and strongly convex analysis. 2nd ed. (Элементы выпуклого и силпно выпуклого анализа.) Zbl 1181.26028
Polovinkin, E. S.; Balashov, M. V.
79
2007
\(M\)-strongly convex subsets and their generating sets. Zbl 1004.46014
Balashov, M. V.; Polovinkin, E. S.
38
2000
Weakly convex and proximally smooth sets in Banach spaces. Zbl 1179.46013
Balashov, M. V.; Ivanov, G. E.
29
2009
Gradient projection and conditional gradient methods for constrained nonconvex minimization. Zbl 1437.49024
Balashov, M. V.; Polyak, B. T.; Tremba, A. A.
17
2020
Uniform convexity and the splitting problem for selections. Zbl 1180.54041
Balashov, Maxim V.; Repovš, Dušan
14
2009
About the gradient projection algorithm for a strongly convex function and a proximally smooth set. Zbl 1375.46056
Balashov, Maxim V.
13
2017
An algorithm for the numerical solution of linear differential games. Zbl 1128.91305
Polovinkin, E. S.; Ivanov, G. E.; Balashov, M. V.; Konstantinov, R. V.; Khorev, A. V.
12
2001
Maximization of a function with Lipschitz continuous gradient. Zbl 1369.90165
Balashov, M. V.
11
2015
On farthest points of sets. Zbl 1124.46007
Balashov, M. V.; Ivanov, G. E.
10
2006
About the Lipschitz property of the metric projection in the Hilbert space. Zbl 1253.46075
Balashov, Maxim V.; Golubev, Maxim O.
10
2012
Properties of the metric projection on weakly Vial-convex sets and parametrization of set-valued mappings with weakly convex images. Zbl 1117.52001
Balashov, M. V.; Ivanov, G. E.
9
2006
Antidistance and antiprojection in the Hilbert space. Zbl 1334.49046
Balashov, M. V.
6
2015
On the \(P\)-property of convex compact sets. Zbl 1052.52004
Balashov, M. V.
5
2002
Weakly convex sets and modulus of nonconvexity. Zbl 1206.52004
Balashov, Maxim V.; Repovš, Dušan
5
2010
The farthest and the nearest points of sets. Zbl 1411.41021
Balashov, Maxim V.; Ivanov, Grigorii E.
5
2018
Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order. Zbl 1220.46010
Balashov, Maxim V.; Repovš, Dušan
5
2011
The gradient projection algorithm for a proximally smooth set and a function with Lipschitz continuous gradient. Zbl 1447.90036
Balashov, Maxim V.
5
2020
On polyhedral approximations in an \(n\)-dimensional space. Zbl 1356.41008
Balashov, M. V.
5
2016
On Pliś metric on the space of strictly convex compacta. Zbl 1251.54005
Balashov, Maxim Viktorovich; Repovs, Dusan
4
2012
Weak convexity of the distance function. Zbl 1276.46061
Balashov, Maxim V.
4
2013
On the splitting problem for selections. Zbl 1169.54007
Balashov, Maxim V.; Repovš, Dušan
4
2009
Polyhedral approximations of strictly convex compacta. Zbl 1226.52001
Balashov, Maxim V.; Repovš, Dušan
4
2011
Gradient projection method on matrix manifolds. Zbl 1452.90248
Balashov, M. V.
4
2020
On the gradient projection method for weakly convex functions on a proximally smooth set. Zbl 1456.90155
Balashov, M. V.
4
2020
The gradient projection algorithm for smooth sets and functions in nonconvex case. Zbl 1473.90124
Balashov, Maxim V.
4
2021
Error bound conditions and convergence of optimization methods on smooth and proximally smooth manifolds. Zbl 1490.90224
Balashov, M. V.; Tremba, A. A.
3
2022
An analogue of the Kreĭn-Milman theorem for a strongly convex hull in a Hilbert space. Zbl 1028.46026
Balashov, M. V.
3
2002
The Pliś metric and Lipschitz stability of minimization problems. Zbl 1423.49023
Balashov, Maksim Viktorovich
3
2019
Approximate calculation of the Chebyshev center for a convex compact set in \(\mathbb{R}^n\). Zbl 1486.52005
Balashov, Maxim V.
2
2022
On the geometric difference of multivalued mappings. Zbl 1037.47034
Balashov, M. V.
2
2001
Strong convexity of reachable sets of linear systems. Zbl 1520.93034
Balashov, Maxim V.
2
2022
Lipschitz continuous parametrizations of set-valued maps with weakly convex images. Zbl 1143.52003
Ivanov, G. E.; Balashov, M. V.
2
2007
Stability of minimization problems and the error bound condition. Zbl 07563240
Balashov, Maxim V.
2
2022
Optimization of the reachable set of a linear system with respect to another set. Zbl 1527.49017
Balashov, M. V.; Kamalov, R. A.
1
2023
Covering a set by a convex compactum: error estimates and computation. Zbl 1505.90141
Balashov, M. V.
1
2022
Properties of \(P\) -sets and trapped compact convex sets. Zbl 1155.52301
Balashov, M. V.; Bogdanov, I. I.
1
2008
Lipschitz stability of extremal problems with a strongly convex set. Zbl 1440.46020
Balashov, Maxim V.
1
2020
Proximal smoothness of a set with the Lipschitz metric projection. Zbl 1315.46016
Balashov, Maxim V.
1
2013
Weak concavity of the antidistance function. Zbl 1311.49034
Balashov, Maxim V.; Golubev, Maxim O.
1
2014
Intersection of a set with a hyperplane. Zbl 1342.49022
Balashov, Maxim V.
1
2016
The gradient projection method with Armijo’s step size on manifolds. Zbl 1481.65087
Balashov, M. V.; Kamalov, R. A.
1
2021
Embedding of a homothete in a convex compactum: an algorithm and its convergence. Zbl 1513.90136
Balashov, Maksim Viktorovich
1
2022
Optimization of the reachable set of a linear system with respect to another set. Zbl 1527.49017
Balashov, M. V.; Kamalov, R. A.
1
2023
Error bound conditions and convergence of optimization methods on smooth and proximally smooth manifolds. Zbl 1490.90224
Balashov, M. V.; Tremba, A. A.
3
2022
Approximate calculation of the Chebyshev center for a convex compact set in \(\mathbb{R}^n\). Zbl 1486.52005
Balashov, Maxim V.
2
2022
Strong convexity of reachable sets of linear systems. Zbl 1520.93034
Balashov, Maxim V.
2
2022
Stability of minimization problems and the error bound condition. Zbl 07563240
Balashov, Maxim V.
2
2022
Covering a set by a convex compactum: error estimates and computation. Zbl 1505.90141
Balashov, M. V.
1
2022
Embedding of a homothete in a convex compactum: an algorithm and its convergence. Zbl 1513.90136
Balashov, Maksim Viktorovich
1
2022
The gradient projection algorithm for smooth sets and functions in nonconvex case. Zbl 1473.90124
Balashov, Maxim V.
4
2021
The gradient projection method with Armijo’s step size on manifolds. Zbl 1481.65087
Balashov, M. V.; Kamalov, R. A.
1
2021
Gradient projection and conditional gradient methods for constrained nonconvex minimization. Zbl 1437.49024
Balashov, M. V.; Polyak, B. T.; Tremba, A. A.
17
2020
The gradient projection algorithm for a proximally smooth set and a function with Lipschitz continuous gradient. Zbl 1447.90036
Balashov, Maxim V.
5
2020
Gradient projection method on matrix manifolds. Zbl 1452.90248
Balashov, M. V.
4
2020
On the gradient projection method for weakly convex functions on a proximally smooth set. Zbl 1456.90155
Balashov, M. V.
4
2020
Lipschitz stability of extremal problems with a strongly convex set. Zbl 1440.46020
Balashov, Maxim V.
1
2020
The Pliś metric and Lipschitz stability of minimization problems. Zbl 1423.49023
Balashov, Maksim Viktorovich
3
2019
The farthest and the nearest points of sets. Zbl 1411.41021
Balashov, Maxim V.; Ivanov, Grigorii E.
5
2018
About the gradient projection algorithm for a strongly convex function and a proximally smooth set. Zbl 1375.46056
Balashov, Maxim V.
13
2017
On polyhedral approximations in an \(n\)-dimensional space. Zbl 1356.41008
Balashov, M. V.
5
2016
Intersection of a set with a hyperplane. Zbl 1342.49022
Balashov, Maxim V.
1
2016
Maximization of a function with Lipschitz continuous gradient. Zbl 1369.90165
Balashov, M. V.
11
2015
Antidistance and antiprojection in the Hilbert space. Zbl 1334.49046
Balashov, M. V.
6
2015
Weak concavity of the antidistance function. Zbl 1311.49034
Balashov, Maxim V.; Golubev, Maxim O.
1
2014
Weak convexity of the distance function. Zbl 1276.46061
Balashov, Maxim V.
4
2013
Proximal smoothness of a set with the Lipschitz metric projection. Zbl 1315.46016
Balashov, Maxim V.
1
2013
About the Lipschitz property of the metric projection in the Hilbert space. Zbl 1253.46075
Balashov, Maxim V.; Golubev, Maxim O.
10
2012
On Pliś metric on the space of strictly convex compacta. Zbl 1251.54005
Balashov, Maxim Viktorovich; Repovs, Dusan
4
2012
Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order. Zbl 1220.46010
Balashov, Maxim V.; Repovš, Dušan
5
2011
Polyhedral approximations of strictly convex compacta. Zbl 1226.52001
Balashov, Maxim V.; Repovš, Dušan
4
2011
Weakly convex sets and modulus of nonconvexity. Zbl 1206.52004
Balashov, Maxim V.; Repovš, Dušan
5
2010
Weakly convex and proximally smooth sets in Banach spaces. Zbl 1179.46013
Balashov, M. V.; Ivanov, G. E.
29
2009
Uniform convexity and the splitting problem for selections. Zbl 1180.54041
Balashov, Maxim V.; Repovš, Dušan
14
2009
On the splitting problem for selections. Zbl 1169.54007
Balashov, Maxim V.; Repovš, Dušan
4
2009
Properties of \(P\) -sets and trapped compact convex sets. Zbl 1155.52301
Balashov, M. V.; Bogdanov, I. I.
1
2008
Elements of convex and strongly convex analysis. 2nd ed. (Элементы выпуклого и силпно выпуклого анализа.) Zbl 1181.26028
Polovinkin, E. S.; Balashov, M. V.
79
2007
Lipschitz continuous parametrizations of set-valued maps with weakly convex images. Zbl 1143.52003
Ivanov, G. E.; Balashov, M. V.
2
2007
On farthest points of sets. Zbl 1124.46007
Balashov, M. V.; Ivanov, G. E.
10
2006
Properties of the metric projection on weakly Vial-convex sets and parametrization of set-valued mappings with weakly convex images. Zbl 1117.52001
Balashov, M. V.; Ivanov, G. E.
9
2006
On the \(P\)-property of convex compact sets. Zbl 1052.52004
Balashov, M. V.
5
2002
An analogue of the Kreĭn-Milman theorem for a strongly convex hull in a Hilbert space. Zbl 1028.46026
Balashov, M. V.
3
2002
An algorithm for the numerical solution of linear differential games. Zbl 1128.91305
Polovinkin, E. S.; Ivanov, G. E.; Balashov, M. V.; Konstantinov, R. V.; Khorev, A. V.
12
2001
On the geometric difference of multivalued mappings. Zbl 1037.47034
Balashov, M. V.
2
2001
\(M\)-strongly convex subsets and their generating sets. Zbl 1004.46014
Balashov, M. V.; Polovinkin, E. S.
38
2000
all top 5

Cited by 154 Authors

35 Balashov, Maxim Viktorovich
11 Dudov, Sergeĭ Ivanovich
11 Ivanov, Grigorii E.
9 Alimov, Alexey R.
9 Polovinkin, Evgenii Sergeevich
8 Osiptsev, Mikhaĭl Anatol’evich
7 Thibault, Lionel
5 Ershov, Aleksandr Anatol’evich
5 Patsko, Valerii S.
5 Repovš, Dušan D.
5 Tsar’kov, Igor’ Germanovich
5 Ushakov, Vladimir Nikolaevich
4 Kumkov, Sergey S.
4 Kurzhanskiĭ, Aleksandr Borisovich
4 Lopushanski, Mariana S.
4 Nacry, Florent
4 Orlov, Igor Vladimirovich
3 Ibragimov, Danis N.
3 Lukoyanov, Nikolaĭ Yur’evich
3 Plotnikov, Andreĭ Viktorovich
3 Sirotin, A. N.
2 Abramova, Veronika Valer’evna
2 Adly, Samir
2 Daryin, Alexander N.
2 Dolgopolik, Maxim Vladimirovich
2 Flerov, A. A.
2 Galkin, Oleg Evgen’evich
2 Galkina, Svetlana Yur’evna
2 Gomoyunov, Mikhail Igorevich
2 Kamalov, Rinat A.
2 Karasev, Roman N.
2 Komleva, Tatyana A.
2 Konstantinov, Matey
2 Kornev, Dmitriĭ Vasil’evich
2 Martini, Horst
2 Matviĭchuk, Aleksandr Rostislavovich
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 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 Cabot, A.
1 Castaing, Charles
1 Chang, Huibin
1 Chen, Xuesong
1 Chorianopoulos, Christos
1 De Bernardi, Carlo Alberto
1 Druzhinin, Yu. Yu.
1 Efremov, Roman V.
1 Fatkhullin, I. F.
1 Ganebny, Sergei A.
1 Gerstner, Philipp
1 Golubev, Maxim O.
1 Gorokhovik, Valentin Vikent’evich
1 Graf, Sergey Yu.
1 Grzybowski, Jerzy
1 Gudovich, Anastasia Nikolaevna
1 He, Chan
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 Khan, Akhtar Ali
1 Khojasteh, Maryam Saeedi
1 Klimov, Vladimir Stepanovich
1 Kuntsevych, Vsevolod Mykhaĭlovych
1 Kuvshinov, Oleg Aleksandrovich
1 Le Ménec, Stéphane
1 Li, Jicheng
1 Li, Tiejun
1 Li, Wenbo
1 Lin, Jitong
1 Liu, Xuenian
...and 54 more Authors
all top 5

Cited in 69 Serials

18 Mathematical Notes
17 Journal of Mathematical Sciences (New York)
13 Proceedings of the Steklov Institute of Mathematics
12 Computational Mathematics and Mathematical Physics
12 Journal of Convex Analysis
8 Journal of Mathematical Analysis and Applications
7 Sbornik: Mathematics
5 Russian Mathematics
5 Differential Equations
4 Set-Valued and Variational Analysis
3 Ukrainian Mathematical Journal
3 Topology and its Applications
3 Automation and Remote Control
3 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika
3 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet
2 Russian Mathematical Surveys
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 Asian-European Journal of Mathematics
1 Computers & Mathematics with Applications
1 Journal of Applied Mathematics and Mechanics
1 Journal of Computational Physics
1 Linear and Multilinear Algebra
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 Approximation Theory
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 Doklady Natsional’noĭ Akademii Nauk Belarusi
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 Banach Journal of Mathematical Analysis
1 Dynamic Games and Applications
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 Problemy Analiza. Issues of Analysis
1 Vestnik Rossiĭskikh Universitetov. Matematika

Citations by Year