Edit Profile (opens in new tab) Antipin, Anatoliĭ Sergeevich Co-Author Distance Author ID: antipin.anatolii-sergeevich Published as: Antipin, A. S.; Antipin, Anatoly; Antipin, Anatoly S.; Antipin, Anatoliĭ Sergeevich; Antipin, Anatoliǐ Sergeevich; Antipin, Anatoly Sergeevich more...less External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp Documents Indexed: 129 Publications since 1973 1 Further Contribution Co-Authors: 21 Co-Authors with 65 Joint Publications 274 Co-Co-Authors all top 5 Co-Authors 64 single-authored 38 Vasil’ev, Fedor Pavlovich 15 Khoroshilova, Elena Vladimirovna 12 Artem’eva, Lyudmila Anatol’evna 5 Jaćimović, Milojica 4 Nedić, Angelia 3 Amochkina, T. V. 3 Budak, B. A. 2 Mijajlović, Nevena 2 Popova, Olga Arkadevna 2 Shpirko, S. V. 2 Vasilieva, Olga Olegovna 2 Yachimovich, M. D. 1 Banks, Harvey Thomas 1 Brunovská, A. 1 Brunovský, Pavol 1 Burns, John A. 1 Delavarhalafi, A. 1 Delavarhalaphi, A. 1 Delavarkhalafi, Ali 1 Delavarkhalfi, A. 1 Deumlich, Reinhard 1 Dontchev, Asen L. 1 Elster, Karl-Heinz 1 Eremin, Ivan Ivanovich 1 Faner, M. A. 1 Fayard, Didier 1 Flåm, Sjur Didrik 1 Fortuna, Zenon 1 Gessing, Ryszard S. 1 Giannessi, Franco 1 Gicev, Todor R. 1 Golikov, Alexander I. 1 Grossmann, Christian 1 Guddat, Jürgen 1 Hille, G. 1 Holnicki, Piotr 1 Jaćimović, Vladimir 1 Janiak, Andrzej 1 Jankowska-Zorychta, Zofia 1 Janus, Stefan 1 Jurina, Lorenzo 1 Kaliszewski, Ignacy 1 Khobotov, Ye. N. 1 Krarup, Jakob 1 Kreglewski, Tomasz 1 Krynski, Stanislaw L. 1 Libura, Marek 1 Maier, Giulio 1 Malanowski, Kazimierz D. 1 Mijailovic, N. 1 Nguyen Dinh Quyet 1 Nykowski, Ireneusz 1 Olbrot, Andrzej W. 1 Phan Quôc Khánh 1 Piehler, Joachim 1 Plateau, Gérard 1 Propoi, Anatoli I. 1 Pruzan, Peter Mark 1 Przeworska-Rolewicz, Danuta 1 Rolewicz, Stefan 1 Ruszczyński, Andrzej 1 Saguez, Christian 1 Sokołowski, Jan 1 Sosiński, R. 1 Sosnowski, Janusz S. 1 Stukalov, A. S. 1 Tatjewski, Piotr 1 Twardy, L. 1 Walukiewicz, Stanisław 1 Wierzbicki, Andrzej P. 1 Zorychta, Krystian all top 5 Serials 21 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 17 Computational Mathematics and Mathematical Physics 10 Differential Equations 8 Moscow University Computational Mathematics and Cybernetics 7 Differential Equations 5 Russian Mathematics 5 Proceedings of the Steklov Institute of Mathematics 4 Automation and Remote Control 3 Doklady Mathematics 3 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 2 Èkonomika i Matematicheskie Metody 2 Optimization 2 Computational Mathematics and Modeling 2 Journal of Global Optimization 2 YUJOR. Yugoslav Journal of Operations Research 2 Vestnik Moskovskogo Universiteta. Seriya 15 2 Mathematical Programming. Series A. Series B 2 Russian Academy of Sciences. Doklady. Mathematics 2 Voprosy Kibernetiki (Moskva) 2 Optimization Letters 1 Moscow University Mathematics Bulletin 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Mathematica Montisnigri 1 Journal of Mathematical Sciences (New York) 1 Ural Mathematical Journal all top 5 Fields 98 Operations research, mathematical programming (90-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 Numerical analysis (65-XX) 13 Systems theory; control (93-XX) 6 Operator theory (47-XX) 4 Ordinary differential equations (34-XX) 1 General and overarching topics; collections (00-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 88 Publications have been cited 1,016 times in 719 Documents Cited by ▼ Year ▼ Equilibrium programming using proximal-like algorithms. Zbl 0890.90150 Flåm, Sjur Didrik; Antipin, Anatoly S. 317 1997 Über eine Methode der konvexen Planung, welche eine symmetrische Modifizierung der Lagrangeschen Funktion verwendet. Zbl 0368.90115 Antipin, A. S. 122 1976 Minimization of convex functions in convex sets by means of differential equations. Zbl 0852.49021 Antipin, A. S. 56 1994 The convergence of proximal methods to fixed points of extremal mappings and estimates of their rate of convergence. Zbl 0852.65046 Antipin, A. S. 34 1995 Equilibrium programming: Proximal methods. Zbl 0944.90083 Antipin, A. S. 29 1997 Continuous and iterative processes with projection operators and operators of projection type. Zbl 0694.65027 Antipin, A. S. 27 1989 Solution methods for variational inequalities with coupled constraints. Zbl 0999.65055 Antipin, A. S. 23 2000 An extra proximal method for solving equilibrium programming problems and games. Zbl 1098.91004 Antipin, A. S. 19 2005 Gradient approach of computing fixed points of equilibrium problems. Zbl 1056.91001 Antipin, Anatoly 18 2002 Controlled proximal differential systems for saddle problems. Zbl 0821.49017 Antipin, A. S. 18 1992 Equilibrium programming: Gradient methods. Zbl 0945.90063 Antipin, A. S. 17 1997 Iterative gradient prediction-type methods for computing fixed points of extremal mapping. Zbl 0958.49022 Antipin, Anatoly S. 16 1997 Terminal control of boundary models. Zbl 1313.93097 Antipin, A. S. 15 2014 Extragradient method for solving quasivariational inequalities. Zbl 1394.49009 Antipin, A. S.; Jaćimović, M.; Mijajlović, N. 14 2018 A stabilization method for equilibrium programming problems with an approximately given set. Zbl 0976.90110 Antipin, A. S.; Vasil’ev, F. P. 13 1999 Optimal control with connected initial and terminal conditions. Zbl 1321.49001 Antipin, A. S.; Khoroshilova, E. V. 12 2015 Extra-proximal methods for solving two-person nonzero-sum games. Zbl 1163.91303 Antipin, Anatoly 11 2009 Prognostic-type iterative methods for calculation of fixed points of extremal mappings. Zbl 0855.90117 Antipin, A. S. 11 1995 A second-order iterative method for solving quasi-variational inequalities. Zbl 1274.90422 Antipin, A. S.; Mijajlovic, N.; Jacimovic, M. 11 2013 Two-person game with Nash equilibrium in optimal control problems. Zbl 1258.49062 Antipin, Anatoly 9 2012 Feedback-controlled saddle gradient processes. Zbl 0847.93050 Antipin, A. S. 8 1994 Proximal differential systems with feedback control. Zbl 0827.49013 Antipin, A. S. 8 1993 A second-order continuous method for solving quasi-variational inequalities. Zbl 1249.90274 Antipin, A. S.; Jacimovic, M.; Mijailovic, N. 8 2011 Regularized extragradient method for finding a saddle point in an optimal control problem. Zbl 1294.49018 Vasil’ev, F. P.; Khoroshilova, E. V.; Antipin, A. S. 8 2011 Linear programming and dynamics. Zbl 1396.49001 Antipin, Anatoly S.; Khoroshilova, Elena V. 8 2015 Über eine Methode zur Ermittlung des Sattelpunkts einer modifizierten Lagrangeschen Funktion. Zbl 0359.90063 Antipin, A. S. 7 1977 Dynamic method of multipliers in terminal control. Zbl 1315.93042 Antipin, A. S.; Vasilieva, O. O. 7 2015 Dynamics and variational inequalities. Zbl 1437.49016 Antipin, A. S.; Jaćimović, Vladimir; Jaćimović, M. 7 2017 Solving variational inequalities with coupling contraints with the use of differential equations. Zbl 1016.49011 Antipin, A. S. 6 2000 A regularized newton method for solving equilibrium programming problems with an inexactly specified set. Zbl 1210.90175 Antipin, A. S.; Vasil’ev, F. P.; Stukalov, A. S. 6 2007 Equilibrium programming problems: Prox-regularization and prox-methods. Zbl 0898.90124 Antipin, Anatoly 6 1997 Saddle point approach to solving problem of optimal control with fixed ends. Zbl 1338.49066 Antipin, Anatoly; Khoroshilova, Elena 6 2016 A boundary value problem of terminal control with a quadratic criterion of quality. Zbl 1342.49002 Antipin, Anatoly Sergeevich; Khoroshilova, Elena Vladimirovna 6 2014 An extragradient method for finding the saddle point in an optimal control problem. Zbl 1255.65124 Vasilyev, F. P.; Khoroshilova, E. V.; Antipin, A. S. 6 2010 Feedback synthesis for a terminal control problem. Zbl 1416.49037 Antipin, A. S.; Khoroshilova, E. V. 6 2018 Regularization methods for solving unstable equilibrium programming problems with coupled constraints. Zbl 1114.90150 Antipin, A. S.; Vasil’ev, F. P. 5 2005 Second-order controlled differential gradient methods for equilibrium problems. Zbl 1069.90546 Antipin, A. S. 4 1999 Calculation of fixed points of extremal mappings by gradient-type methods. Zbl 0947.90102 Antipin, A. S. 4 1997 Sensitivity function: properties and applications. Zbl 1249.49034 Antipin, A. S.; Golikov, A. I.; Khoroshilova, E. V. 4 2011 The method of modified Lagrange function for optimal control problem. Zbl 1255.49047 Antipin, Anatoliĭ Sergeevich 4 2011 Extragradient methods for optimal control problems with linear restrictions. Zbl 1259.49025 Antipin, Anatoliǐ Sergeevich; Horoshilova, Elena Vladimirovna 4 2010 On methods of terminal control with boundary-value problems: Lagrange approach. Zbl 1354.90090 Antipin, Anatoly; Khoroshilova, Elena 4 2016 Controlled dynamic model with boundary-value problem of minimizing a sensitivity function. Zbl 1423.49028 Antipin, Anatoly; Khoroshilova, Elena 4 2019 Multicriteria equilibrium programming problems and methods for their solutions. Zbl 1202.90230 Antipin, Anatoly 4 2009 A two-step linearization method for minimization problems. Zbl 1161.90460 Antipin, A. S.; Nedich, A.; Yachimovich, M. 3 1996 Differential equations for equilibrium problems with coupled constraints. Zbl 1042.90616 Antipin, Anatoly 3 2001 A regularized continuous extragradient method of the first order with a variable metric for problems of equilibrium programming. Zbl 1148.90342 Antipin, A. S.; Budak, B. A.; Vasil’ev, F. P. 3 2002 Regularized prediction method for solving variational inequalities with an inexactly given set. Zbl 1077.65068 Antipin, A. S.; Vasil’ev, F. P. 3 2004 On a certain continuous minimization method with a variable metric. Zbl 0914.90213 Antipin, A. S.; Vasil’ev, F. P. 3 1995 On finite convergence of processes to a sharp minimum and to a smooth minimum with a sharp derivative. Zbl 0853.90089 Antipin, A. S. 3 1994 4-step method for linearizing minimization problems. Zbl 0883.49023 Antipin, A. S.; Nedić, A.; Jačimović, M. 3 1995 Multiplier methods in bilinear equilibrium programming with application to nonzero-sum games. Zbl 1119.90349 Antipin, A. S. 3 2002 An extraproximal method for solving equilibrium and game problems with coupled variables. Zbl 1149.91321 Antipin, A. S. 3 2005 Equilibrium model of a credit market: statement of the problem and solution methods. Zbl 1224.91109 Antipin, A. S.; Popova, O. A. 3 2009 Multicriteria equilibrium programming: Extragradient method. Zbl 1224.65150 Antipin, A. S.; Artem’eva, L. A.; Vasil’ev, F. P. 3 2010 Extraproximal approach to calculating equilibriums in pure exchange models. Zbl 07811558 Antipin, A. S. 3 2006 Methods for solving systems of convex programming problems. Zbl 0623.90063 Antipin, A. S. 3 1987 Saddle problem and optimization problem as an integrated system. Zbl 1182.90088 Antipin, A. S. 3 2008 Regularization methods, based on the extension of a set, for solving an equilibrium programming problem with inexact input data. Zbl 1078.90066 Antipin, A. S.; Vasil’ev, F. P. 2 2002 A differential linearization method in equilibrium programming. Zbl 1052.90609 Antipin, A. S. 2 1998 Methods for solving equilibrium programming problems. Zbl 1111.90120 Antipin, A. S.; Budak, B. A.; Vasil’ev, F. P. 2 2005 Second-order proximal differential systems with feedback control. Zbl 0815.34037 Antipin, A. S. 2 1993 A first-order continuous extra-gradient method with variable metric for solving equilibrium programming problems. Zbl 1147.90395 Antipin, A. S.; Budak, B. A.; Vasil’ev, F. P. 2 2003 Extragradient method for solving an optimal control problem with implicitly specified boundary conditions. Zbl 1373.49034 Antipin, A. S.; Artem’eva, L. A.; Vasil’ev, F. P. 2 2017 Augmented Lagrangian method for optimal control problems. Zbl 1317.49024 Antipin, Anatoly; Vasilieva, Olga 2 2015 On differential prediction-type gradient methods for computing fixed points of extremal mappings. Zbl 0882.49021 Antipin, A. S. 2 1995 Continuous extragradient method for a parametric multicriteria equilibrium programming problem. Zbl 1198.90352 Vasil’ev, F. P.; Antipin, A. S.; Artem’eva, L. A. 2 2009 Extraproximal method for solving two-person saddle-point games. Zbl 1274.91005 Antipin, A. S.; Artem’eva, L. A.; Vasil’ev, F. P. 2 2011 Dynamics, phase constraints, and linear programming. Zbl 1450.49018 Antipin, A. S.; Khoroshilova, E. V. 2 2020 Multicriteria equilibrium programming: extraproximal methods. Zbl 07812364 Antipin, A. S. 2 2007 Regularization methods of finding fixed-point of extremal mappings. Zbl 0962.47025 Vasiljev, F. P.; Antipin, A. S. 1 1998 A residual method for equilibrium problems with an inexcactly specified set. Zbl 1052.90086 Antipin, A. S.; Vasil’ev, F. P. 1 2001 Differential controlled gradient method for symmetric extremal mappings. Zbl 1126.90405 Antipin, A. S. 1 1998 Extragradient approach to the solution of two person non-zero sum games. Zbl 1111.91300 Antipin, Anatoly 1 2003 Continuous linearization method with a variable metric for problems in convex programming. Zbl 0947.90084 Amochkina, T. V.; Antipin, A. S.; Vasil’ev, F. P. 1 1997 Splitting of the gradient approach for solving extreme inclusions. Zbl 0966.90072 Antipin, A. S. 1 1998 Gradient-proximal method of solving of extreme inclusions. Zbl 1016.90046 Antipin, Anatoly 1 2000 A regularized extra-gradient method for solving the equilibrium programming problems. Zbl 1083.47502 Antipin, A. S.; Vasil’ev, F. P.; Shpirko, S. V. 1 2003 Regularized continuous extragradient method for solving a parametric multicriteria equilibrium programming problem. Zbl 1279.90156 Vasilyev, F. P.; Antipin, A. S.; Artemieva, L. A. 1 2010 On convergence rate estimation for gradient projection method. Zbl 0845.65027 Antipin, A. S. 1 1995 An interior linearization method. Zbl 0821.90088 Antipin, A. S. 1 1993 A three-step method of linearization for minimization problems. Zbl 0839.90088 Antipin, A. S.; Nedich, A.; Yachimovich, M. 1 1994 On non-gradient methods of optimization of saddle functions. Zbl 0695.90080 Antipin, A. S. 1 1988 Methods of solving systems of convex programming problems. Zbl 0664.90071 Antipin, A. S. 1 1987 Regularized continuous extragradient method for a multicriterial equilibrium programming problem. Zbl 1240.90357 Vasil’ev, F. P.; Antipin, A. S.; Artem’eva, L. A. 1 2010 Saddle-point method in terminal control with sections in phase constraints. Zbl 1511.49018 Antipin, Anatoly; Khoroshilova, Elena 1 2020 Optimal control of two linear programming problems. Zbl 1523.49021 Antipin, Anatoly; Khoroshilova, Elena 1 2021 Solving two-person nonzero-sum games with the help of differential equations. Zbl 1175.91015 Antipin, A. S. 1 2003 Optimal control of two linear programming problems. Zbl 1523.49021 Antipin, Anatoly; Khoroshilova, Elena 1 2021 Dynamics, phase constraints, and linear programming. Zbl 1450.49018 Antipin, A. S.; Khoroshilova, E. V. 2 2020 Saddle-point method in terminal control with sections in phase constraints. Zbl 1511.49018 Antipin, Anatoly; Khoroshilova, Elena 1 2020 Controlled dynamic model with boundary-value problem of minimizing a sensitivity function. Zbl 1423.49028 Antipin, Anatoly; Khoroshilova, Elena 4 2019 Extragradient method for solving quasivariational inequalities. Zbl 1394.49009 Antipin, A. S.; Jaćimović, M.; Mijajlović, N. 14 2018 Feedback synthesis for a terminal control problem. Zbl 1416.49037 Antipin, A. S.; Khoroshilova, E. V. 6 2018 Dynamics and variational inequalities. Zbl 1437.49016 Antipin, A. S.; Jaćimović, Vladimir; Jaćimović, M. 7 2017 Extragradient method for solving an optimal control problem with implicitly specified boundary conditions. Zbl 1373.49034 Antipin, A. S.; Artem’eva, L. A.; Vasil’ev, F. P. 2 2017 Saddle point approach to solving problem of optimal control with fixed ends. Zbl 1338.49066 Antipin, Anatoly; Khoroshilova, Elena 6 2016 On methods of terminal control with boundary-value problems: Lagrange approach. Zbl 1354.90090 Antipin, Anatoly; Khoroshilova, Elena 4 2016 Optimal control with connected initial and terminal conditions. Zbl 1321.49001 Antipin, A. S.; Khoroshilova, E. V. 12 2015 Linear programming and dynamics. Zbl 1396.49001 Antipin, Anatoly S.; Khoroshilova, Elena V. 8 2015 Dynamic method of multipliers in terminal control. Zbl 1315.93042 Antipin, A. S.; Vasilieva, O. O. 7 2015 Augmented Lagrangian method for optimal control problems. Zbl 1317.49024 Antipin, Anatoly; Vasilieva, Olga 2 2015 Terminal control of boundary models. Zbl 1313.93097 Antipin, A. S. 15 2014 A boundary value problem of terminal control with a quadratic criterion of quality. Zbl 1342.49002 Antipin, Anatoly Sergeevich; Khoroshilova, Elena Vladimirovna 6 2014 A second-order iterative method for solving quasi-variational inequalities. Zbl 1274.90422 Antipin, A. S.; Mijajlovic, N.; Jacimovic, M. 11 2013 Two-person game with Nash equilibrium in optimal control problems. Zbl 1258.49062 Antipin, Anatoly 9 2012 A second-order continuous method for solving quasi-variational inequalities. Zbl 1249.90274 Antipin, A. S.; Jacimovic, M.; Mijailovic, N. 8 2011 Regularized extragradient method for finding a saddle point in an optimal control problem. Zbl 1294.49018 Vasil’ev, F. P.; Khoroshilova, E. V.; Antipin, A. S. 8 2011 Sensitivity function: properties and applications. Zbl 1249.49034 Antipin, A. S.; Golikov, A. I.; Khoroshilova, E. V. 4 2011 The method of modified Lagrange function for optimal control problem. Zbl 1255.49047 Antipin, Anatoliĭ Sergeevich 4 2011 Extraproximal method for solving two-person saddle-point games. Zbl 1274.91005 Antipin, A. S.; Artem’eva, L. A.; Vasil’ev, F. P. 2 2011 An extragradient method for finding the saddle point in an optimal control problem. Zbl 1255.65124 Vasilyev, F. P.; Khoroshilova, E. V.; Antipin, A. S. 6 2010 Extragradient methods for optimal control problems with linear restrictions. Zbl 1259.49025 Antipin, Anatoliǐ Sergeevich; Horoshilova, Elena Vladimirovna 4 2010 Multicriteria equilibrium programming: Extragradient method. Zbl 1224.65150 Antipin, A. S.; Artem’eva, L. A.; Vasil’ev, F. P. 3 2010 Regularized continuous extragradient method for solving a parametric multicriteria equilibrium programming problem. Zbl 1279.90156 Vasilyev, F. P.; Antipin, A. S.; Artemieva, L. A. 1 2010 Regularized continuous extragradient method for a multicriterial equilibrium programming problem. Zbl 1240.90357 Vasil’ev, F. P.; Antipin, A. S.; Artem’eva, L. A. 1 2010 Extra-proximal methods for solving two-person nonzero-sum games. Zbl 1163.91303 Antipin, Anatoly 11 2009 Multicriteria equilibrium programming problems and methods for their solutions. Zbl 1202.90230 Antipin, Anatoly 4 2009 Equilibrium model of a credit market: statement of the problem and solution methods. Zbl 1224.91109 Antipin, A. S.; Popova, O. A. 3 2009 Continuous extragradient method for a parametric multicriteria equilibrium programming problem. Zbl 1198.90352 Vasil’ev, F. P.; Antipin, A. S.; Artem’eva, L. A. 2 2009 Saddle problem and optimization problem as an integrated system. Zbl 1182.90088 Antipin, A. S. 3 2008 A regularized newton method for solving equilibrium programming problems with an inexactly specified set. Zbl 1210.90175 Antipin, A. S.; Vasil’ev, F. P.; Stukalov, A. S. 6 2007 Multicriteria equilibrium programming: extraproximal methods. Zbl 07812364 Antipin, A. S. 2 2007 Extraproximal approach to calculating equilibriums in pure exchange models. Zbl 07811558 Antipin, A. S. 3 2006 An extra proximal method for solving equilibrium programming problems and games. Zbl 1098.91004 Antipin, A. S. 19 2005 Regularization methods for solving unstable equilibrium programming problems with coupled constraints. Zbl 1114.90150 Antipin, A. S.; Vasil’ev, F. P. 5 2005 An extraproximal method for solving equilibrium and game problems with coupled variables. Zbl 1149.91321 Antipin, A. S. 3 2005 Methods for solving equilibrium programming problems. Zbl 1111.90120 Antipin, A. S.; Budak, B. A.; Vasil’ev, F. P. 2 2005 Regularized prediction method for solving variational inequalities with an inexactly given set. Zbl 1077.65068 Antipin, A. S.; Vasil’ev, F. P. 3 2004 A first-order continuous extra-gradient method with variable metric for solving equilibrium programming problems. Zbl 1147.90395 Antipin, A. S.; Budak, B. A.; Vasil’ev, F. P. 2 2003 Extragradient approach to the solution of two person non-zero sum games. Zbl 1111.91300 Antipin, Anatoly 1 2003 A regularized extra-gradient method for solving the equilibrium programming problems. Zbl 1083.47502 Antipin, A. S.; Vasil’ev, F. P.; Shpirko, S. V. 1 2003 Solving two-person nonzero-sum games with the help of differential equations. Zbl 1175.91015 Antipin, A. S. 1 2003 Gradient approach of computing fixed points of equilibrium problems. Zbl 1056.91001 Antipin, Anatoly 18 2002 A regularized continuous extragradient method of the first order with a variable metric for problems of equilibrium programming. Zbl 1148.90342 Antipin, A. S.; Budak, B. A.; Vasil’ev, F. P. 3 2002 Multiplier methods in bilinear equilibrium programming with application to nonzero-sum games. Zbl 1119.90349 Antipin, A. S. 3 2002 Regularization methods, based on the extension of a set, for solving an equilibrium programming problem with inexact input data. Zbl 1078.90066 Antipin, A. S.; Vasil’ev, F. P. 2 2002 Differential equations for equilibrium problems with coupled constraints. Zbl 1042.90616 Antipin, Anatoly 3 2001 A residual method for equilibrium problems with an inexcactly specified set. Zbl 1052.90086 Antipin, A. S.; Vasil’ev, F. P. 1 2001 Solution methods for variational inequalities with coupled constraints. Zbl 0999.65055 Antipin, A. S. 23 2000 Solving variational inequalities with coupling contraints with the use of differential equations. Zbl 1016.49011 Antipin, A. S. 6 2000 Gradient-proximal method of solving of extreme inclusions. Zbl 1016.90046 Antipin, Anatoly 1 2000 A stabilization method for equilibrium programming problems with an approximately given set. Zbl 0976.90110 Antipin, A. S.; Vasil’ev, F. P. 13 1999 Second-order controlled differential gradient methods for equilibrium problems. Zbl 1069.90546 Antipin, A. S. 4 1999 A differential linearization method in equilibrium programming. Zbl 1052.90609 Antipin, A. S. 2 1998 Regularization methods of finding fixed-point of extremal mappings. Zbl 0962.47025 Vasiljev, F. P.; Antipin, A. S. 1 1998 Differential controlled gradient method for symmetric extremal mappings. Zbl 1126.90405 Antipin, A. S. 1 1998 Splitting of the gradient approach for solving extreme inclusions. Zbl 0966.90072 Antipin, A. S. 1 1998 Equilibrium programming using proximal-like algorithms. Zbl 0890.90150 Flåm, Sjur Didrik; Antipin, Anatoly S. 317 1997 Equilibrium programming: Proximal methods. Zbl 0944.90083 Antipin, A. S. 29 1997 Equilibrium programming: Gradient methods. Zbl 0945.90063 Antipin, A. S. 17 1997 Iterative gradient prediction-type methods for computing fixed points of extremal mapping. Zbl 0958.49022 Antipin, Anatoly S. 16 1997 Equilibrium programming problems: Prox-regularization and prox-methods. Zbl 0898.90124 Antipin, Anatoly 6 1997 Calculation of fixed points of extremal mappings by gradient-type methods. Zbl 0947.90102 Antipin, A. S. 4 1997 Continuous linearization method with a variable metric for problems in convex programming. Zbl 0947.90084 Amochkina, T. V.; Antipin, A. S.; Vasil’ev, F. P. 1 1997 A two-step linearization method for minimization problems. Zbl 1161.90460 Antipin, A. S.; Nedich, A.; Yachimovich, M. 3 1996 The convergence of proximal methods to fixed points of extremal mappings and estimates of their rate of convergence. Zbl 0852.65046 Antipin, A. S. 34 1995 Prognostic-type iterative methods for calculation of fixed points of extremal mappings. Zbl 0855.90117 Antipin, A. S. 11 1995 On a certain continuous minimization method with a variable metric. Zbl 0914.90213 Antipin, A. S.; Vasil’ev, F. P. 3 1995 4-step method for linearizing minimization problems. Zbl 0883.49023 Antipin, A. S.; Nedić, A.; Jačimović, M. 3 1995 On differential prediction-type gradient methods for computing fixed points of extremal mappings. Zbl 0882.49021 Antipin, A. S. 2 1995 On convergence rate estimation for gradient projection method. Zbl 0845.65027 Antipin, A. S. 1 1995 Minimization of convex functions in convex sets by means of differential equations. Zbl 0852.49021 Antipin, A. S. 56 1994 Feedback-controlled saddle gradient processes. Zbl 0847.93050 Antipin, A. S. 8 1994 On finite convergence of processes to a sharp minimum and to a smooth minimum with a sharp derivative. Zbl 0853.90089 Antipin, A. S. 3 1994 A three-step method of linearization for minimization problems. Zbl 0839.90088 Antipin, A. S.; Nedich, A.; Yachimovich, M. 1 1994 Proximal differential systems with feedback control. Zbl 0827.49013 Antipin, A. S. 8 1993 Second-order proximal differential systems with feedback control. Zbl 0815.34037 Antipin, A. S. 2 1993 An interior linearization method. Zbl 0821.90088 Antipin, A. S. 1 1993 Controlled proximal differential systems for saddle problems. Zbl 0821.49017 Antipin, A. S. 18 1992 Continuous and iterative processes with projection operators and operators of projection type. Zbl 0694.65027 Antipin, A. S. 27 1989 On non-gradient methods of optimization of saddle functions. Zbl 0695.90080 Antipin, A. S. 1 1988 Methods for solving systems of convex programming problems. Zbl 0623.90063 Antipin, A. S. 3 1987 Methods of solving systems of convex programming problems. Zbl 0664.90071 Antipin, A. S. 1 1987 Über eine Methode zur Ermittlung des Sattelpunkts einer modifizierten Lagrangeschen Funktion. Zbl 0359.90063 Antipin, A. S. 7 1977 Über eine Methode der konvexen Planung, welche eine symmetrische Modifizierung der Lagrangeschen Funktion verwendet. Zbl 0368.90115 Antipin, A. S. 122 1976 all cited Publications top 5 cited Publications all top 5 Cited by 630 Authors 66 Kumam, Poom 36 Dương Việt Thông 34 Dang Van Hieu 34 Yao, Jen-Chih 31 Antipin, Anatoliĭ Sergeevich 25 Shehu, Yekini 23 Dong, Qiaoli 22 Cho, Yeol Je 21 Rehman, Habib Ur 19 Gibali, Aviv 17 Jolaoso, Lateef Olakunle O. 16 Clempner, Julio B. 15 Konnov, Igor V. 15 Pakkaranang, Nuttapol 14 Ceng, Lu-Chuan 14 Kumam, Wiyada 14 Liou, Yeongcheng 14 Mewomo, Oluwatosin Temitope 13 Khoroshilova, Elena Vladimirovna 13 Yao, Yonghong 12 Csetnek, Ernö Robert 12 Ding, Xie Ping 12 Iyiola, Olaniyi Samuel 11 Boţ, Radu Ioan 11 Peng, Jianwen 11 Su, Yongfu 11 Yang, Jun 10 Alakoya, Timilehin Opeyemi 10 Cai, Gang 10 Cholamjiak, Prasit 10 Ryazantseva, Irina Prokof’evna 10 Vasil’ev, Fedor Pavlovich 10 Wangkeeree, Rabian 9 Artem’eva, Lyudmila Anatol’evna 9 Eslamian, Mohammad 9 Jaiboon, Chaichana 9 Katchang, Phayap 9 Lê Dung Muu 9 Noor, Muhammad Aslam 9 Wairojjana, Nopparat 8 Ansari, Qamrul Hasan 8 Bnouhachem, Abdellah 8 Jaćimović, Milojica 8 Li, Xiaohuan 8 Liu, Hongwei 8 Pholasa, Nattawut 8 Poznyak, Aleksandr Semënovich 7 Flåm, Sjur Didrik 7 Jitpeera, Thanyarat 7 Mijajlović, Nevena 7 Pham Ky Anh 7 Qin, Xiaolong 7 Quy, Pham Kim 7 Vuong, Phan Tu 6 Aida-Zade, Kamil Rajab 6 Dung, Vu Tien 6 Fang, Yaping 6 Hu, Rong 6 Noor, Khalida Inayat 6 Pham Ngoc Anh 6 Plubtieng, Somyot 6 Reich, Simeon 6 Wattanawitoon, Kriengsak 5 Budak, B. A. 5 Hai, Trinh Ngoc 5 Kazmi, Kaleem Raza 5 Khunpanuk, Chainarong 5 Muangchoo, Kanikar 5 Nasri, Mostafa 5 Nilsrakoo, Weerayuth 5 Rassias, Themistocles Michael 5 Rizvi, Shuja Haider 5 Saejung, Satit 5 Semenov, Volodymyr V. 5 Trejo, Kristal K. 4 Aphane, Maggie 4 Aremu, Kazeem Olalekan 4 Du, Wei-Shih 4 Duong, Hoang Ngoc 4 Gebrie, Anteneh Getachew 4 He, Songnian 4 He, Zhenhua 4 Jung, Jong Soo 4 Kanzow, Christian 4 Kim, Jong Kyu 4 Li, Xiaoxiao 4 Liu, Lulu 4 Maingé, Paul-Emile 4 Moradlou, Fridoun 4 Morzhin, Oleg Vasil’evich 4 Özdemir, Murat Emin 4 Pechen, Alexander Nikolaevich 4 Petrot, Narin 4 Shang, Meijuan 4 Strodiot, Jean-Jacques 4 Sunthrayuth, Pongsakorn 4 Taiwo, Adeolu 4 Thang, Hoang Van 4 Van Long, Luong 4 Vu Tien Dung ...and 530 more Authors all top 5 Cited in 161 Serials 48 Fixed Point Theory and Applications 38 Optimization 28 Journal of Optimization Theory and Applications 28 Computational Mathematics and Mathematical Physics 24 Journal of Inequalities and Applications 23 Journal of Global Optimization 23 Numerical Algorithms 18 Computational and Applied Mathematics 17 Optimization Letters 16 Applied Mathematics and Computation 14 Journal of Computational and Applied Mathematics 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Computational Mathematics and Modeling 14 Journal of Applied Mathematics 13 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 13 Nonlinear Analysis. Hybrid Systems 10 Abstract and Applied Analysis 10 Journal of Fixed Point Theory and Applications 9 Journal of Mathematical Analysis and Applications 9 Computational Optimization and Applications 8 Computers & Mathematics with Applications 8 Optimization Methods & Software 8 Differential Equations 8 Nonlinear Functional Analysis and Applications 8 Set-Valued and Variational Analysis 7 Mathematical Methods in the Applied Sciences 7 Numerical Functional Analysis and Optimization 7 Russian Mathematics 7 Proceedings of the Steklov Institute of Mathematics 6 Applicable Analysis 6 Demonstratio Mathematica 6 Automation and Remote Control 6 Thai Journal of Mathematics 5 International Journal of Computer Mathematics 5 Mathematical Programming. Series A. Series B 5 Journal of Applied Mathematics and Computing 5 Journal of Nonlinear Science and Applications 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Journal of Function Spaces 5 AIMS Mathematics 5 Journal of Nonlinear and Variational Analysis 4 SIAM Journal on Control and Optimization 4 Applied Mathematics and Mechanics. (English Edition) 4 Acta Applicandae Mathematicae 4 Applied Numerical Mathematics 4 Mathematical and Computer Modelling 4 Annals of Operations Research 4 Mathematical Methods of Operations Research 4 Networks and Spatial Economics 4 Journal of Industrial and Management Optimization 3 Calcolo 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Scientific Computing 3 SIAM Journal on Optimization 3 Cybernetics and Systems Analysis 3 Advances in Computational Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Acta Mathematica Sinica. English Series 3 Communications in Nonlinear Science and Numerical Simulation 3 International Game Theory Review 3 Mathematical Modelling and Analysis 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Afrika Matematika 3 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 3 Korean Journal of Mathematics 2 Bulletin of the Australian Mathematical Society 2 International Journal of Control 2 Applied Mathematics and Optimization 2 Mathematics and Computers in Simulation 2 Moscow University Computational Mathematics and Cybernetics 2 Optimal Control Applications & Methods 2 Applied Mathematics Letters 2 Japan Journal of Industrial and Applied Mathematics 2 European Journal of Operational Research 2 Journal of Dynamics and Differential Equations 2 Doklady Mathematics 2 Vietnam Journal of Mathematics 2 Optimization and Engineering 2 RAIRO. Operations Research 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Fixed Point Theory 2 Mediterranean Journal of Mathematics 2 Dynamic Games and Applications 2 Ural Mathematical Journal 1 Journal of Computer and System Sciences 1 Journal of Differential Equations 1 Kybernetika 1 Mathematica Slovaca 1 Operations Research 1 Opsearch 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Tamkang Journal of Mathematics 1 Cybernetics and Systems 1 Bulletin of the Korean Mathematical Society 1 Journal of Computational Mathematics 1 Computers & Operations Research 1 Asia-Pacific Journal of Operational Research 1 Applications of Mathematics ...and 61 more Serials all top 5 Cited in 27 Fields 444 Operator theory (47-XX) 288 Operations research, mathematical programming (90-XX) 275 Calculus of variations and optimal control; optimization (49-XX) 270 Numerical analysis (65-XX) 74 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Ordinary differential equations (34-XX) 21 Computer science (68-XX) 19 Systems theory; control (93-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 General topology (54-XX) 9 Global analysis, analysis on manifolds (58-XX) 6 Partial differential equations (35-XX) 6 Functional analysis (46-XX) 6 Probability theory and stochastic processes (60-XX) 4 Mechanics of deformable solids (74-XX) 4 Quantum theory (81-XX) 3 Differential geometry (53-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 3 Biology and other natural sciences (92-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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