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: 127 Publications since 1973 1 Further Contribution Co-Authors: 21 Co-Authors with 65 Joint Publications 249 Co-Co-Authors all top 5 Co-Authors 62 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 19 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 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 Matematicheskie Metody Resheniya Èkonomicheskikh Zadach 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 97 Operations research, mathematical programming (90-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 35 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 79 Publications have been cited 796 times in 563 Documents Cited by ▼ Year ▼ Equilibrium programming using proximal-like algorithms. Zbl 0890.90150Flåm, Sjur Didrik; Antipin, Anatoly S. 294 1997 Über eine Methode der konvexen Planung, welche eine symmetrische Modifizierung der Lagrangeschen Funktion verwendet. Zbl 0368.90115Antipin, A. S. 39 1976 Minimization of convex functions in convex sets by means of differential equations. Zbl 0852.49021Antipin, A. S. 38 1994 The convergence of proximal methods to fixed points of extremal mappings and estimates of their rate of convergence. Zbl 0852.65046Antipin, A. S. 31 1995 Continuous and iterative processes with projection operators and operators of projection type. Zbl 0694.65027Antipin, A. S. 23 1989 Solution methods for variational inequalities with coupled constraints. Zbl 0999.65055Antipin, A. S. 22 2000 Equilibrium programming: Proximal methods. Zbl 0944.90083Antipin, A. S. 21 1997 Gradient approach of computing fixed points of equilibrium problems. Zbl 1056.91001Antipin, Anatoly 17 2002 Equilibrium programming: Gradient methods. Zbl 0945.90063Antipin, A. S. 17 1997 Controlled proximal differential systems for saddle problems. Zbl 0821.49017Antipin, A. S. 16 1992 Iterative gradient prediction-type methods for computing fixed points of extremal mapping. Zbl 0958.49022Antipin, Anatoly S. 14 1997 A stabilization method for equilibrium programming problems with an approximately given set. Zbl 0976.90110Antipin, A. S.; Vasil’ev, F. P. 13 1999 Terminal control of boundary models. Zbl 1313.93097Antipin, A. S. 13 2014 Prognostic-type iterative methods for calculation of fixed points of extremal mappings. Zbl 0855.90117Antipin, A. S. 11 1995 Extra-proximal methods for solving two-person nonzero-sum games. Zbl 1163.91303Antipin, Anatoly 11 2009 Extragradient method for solving quasivariational inequalities. Zbl 1394.49009Antipin, A. S.; Jaćimović, M.; Mijajlović, N. 11 2018 Two-person game with Nash equilibrium in optimal control problems. Zbl 1258.49062Antipin, Anatoly 9 2012 A second-order iterative method for solving quasi-variational inequalities. Zbl 1274.90422Antipin, A. S.; Mijajlovic, N.; Jacimovic, M. 9 2013 Optimal control with connected initial and terminal conditions. Zbl 1321.49001Antipin, A. S.; Khoroshilova, E. V. 9 2015 Proximal differential systems with feedback control. Zbl 0827.49013Antipin, A. S. 8 1993 Feedback-controlled saddle gradient processes. Zbl 0847.93050Antipin, A. S. 7 1994 Equilibrium programming problems: Prox-regularization and prox-methods. Zbl 0898.90124Antipin, Anatoly 6 1997 An extragradient method for finding the saddle point in an optimal control problem. Zbl 1255.65124Vasilyev, F. P.; Khoroshilova, E. V.; Antipin, A. S. 6 2010 A regularized newton method for solving equilibrium programming problems with an inexactly specified set. Zbl 1210.90175Antipin, A. S.; Vasil’ev, F. P.; Stukalov, A. S. 6 2007 Dynamic method of multipliers in terminal control. Zbl 1315.93042Antipin, A. S.; Vasilieva, O. O. 6 2015 A boundary value problem of terminal control with a quadratic criterion of quality. Zbl 1342.49002Antipin, Anatoly Sergeevich; Khoroshilova, Elena Vladimirovna 6 2014 Über eine Methode zur Ermittlung des Sattelpunkts einer modifizierten Lagrangeschen Funktion. Zbl 0359.90063Antipin, A. S. 5 1977 Solving variational inequalities with coupling contraints with the use of differential equations. Zbl 1016.49011Antipin, A. S. 5 2000 Feedback synthesis for a terminal control problem. Zbl 1416.49037Antipin, A. S.; Khoroshilova, E. V. 5 2018 Dynamics and variational inequalities. Zbl 1437.49016Antipin, A. S.; Jaćimović, Vladimir; Jaćimović, M. 5 2017 A second-order continuous method for solving quasi-variational inequalities. Zbl 1249.90274Antipin, A. S.; Jacimovic, M.; Mijailovic, N. 5 2011 Linear programming and dynamics. Zbl 1396.49001Antipin, Anatoly S.; Khoroshilova, Elena V. 5 2015 Multicriteria equilibrium programming problems and methods for their solutions. Zbl 1202.90230Antipin, Anatoly 4 2009 An extra proximal method for solving equilibrium programming problems and games. Zbl 1098.91004Antipin, A. S. 4 2005 Second-order controlled differential gradient methods for equilibrium problems. Zbl 1069.90546Antipin, A. S. 4 1999 Calculation of fixed points of extremal mappings by gradient-type methods. Zbl 0947.90102Antipin, A. S. 4 1997 Sensitivity function: properties and applications. Zbl 1249.49034Antipin, A. S.; Golikov, A. I.; Khoroshilova, E. V. 4 2011 Regularized extragradient method for finding a saddle point in an optimal control problem. Zbl 1294.49018Vasil’ev, F. P.; Khoroshilova, E. V.; Antipin, A. S. 4 2011 Saddle point approach to solving problem of optimal control with fixed ends. Zbl 1338.49066Antipin, Anatoly; Khoroshilova, Elena 4 2016 On a certain continuous minimization method with a variable metric. Zbl 0914.90213Antipin, A. S.; Vasil’ev, F. P. 3 1995 Equilibrium model of a credit market: statement of the problem and solution methods. Zbl 1224.91109Antipin, A. S.; Popova, O. A. 3 2009 Multicriteria equilibrium programming: Extragradient method. Zbl 1224.65150Antipin, A. S.; Artem’eva, L. A.; Vasil’ev, F. P. 3 2010 4-step method for linearizing minimization problems. Zbl 0883.49023Antipin, A. S.; Nedić, A.; Jačimović, M. 3 1995 On finite convergence of processes to a sharp minimum and to a smooth minimum with a sharp derivative. Zbl 0853.90089Antipin, A. S. 3 1994 Regularization methods for solving unstable equilibrium programming problems with coupled constraints. Zbl 1114.90150Antipin, A. S.; Vasil’ev, F. P. 3 2005 Regularized prediction method for solving variational inequalities with an inexactly given set. Zbl 1077.65068Antipin, A. S.; Vasil’ev, F. P. 3 2004 A two-step linearization method for minimization problems. Zbl 1161.90460Antipin, A. S.; Nedich, A.; Yachimovich, M. 3 1996 Multiplier methods in bilinear equilibrium programming with application to nonzero-sum games. Zbl 1119.90349Antipin, A. S. 3 2002 Methods for solving systems of convex programming problems. Zbl 0623.90063Antipin, A. S. 3 1987 Differential equations for equilibrium problems with coupled constraints. Zbl 1042.90616Antipin, Anatoly 3 2001 Continuous extragradient method for a parametric multicriteria equilibrium programming problem. Zbl 1198.90352Vasil’ev, F. P.; Antipin, A. S.; Artem’eva, L. A. 2 2009 A first-order continuous extra-gradient method with variable metric for solving equilibrium programming problems. Zbl 1147.90395Antipin, A. S.; Budak, B. A.; Vasil’ev, F. P. 2 2003 On differential prediction-type gradient methods for computing fixed points of extremal mappings. Zbl 0882.49021Antipin, A. S. 2 1995 Saddle problem and optimization problem as an integrated system. Zbl 1182.90088Antipin, A. S. 2 2008 Regularization methods, based on the extension of a set, for solving an equilibrium programming problem with inexact input data. Zbl 1078.90066Antipin, A. S.; Vasil’ev, F. P. 2 2002 A regularized continuous extragradient method of the first order with a variable metric for problems of equilibrium programming. Zbl 1148.90342Antipin, A. S.; Budak, B. A.; Vasil’ev, F. P. 2 2002 A differential linearization method in equilibrium programming. Zbl 1052.90609Antipin, A. S. 2 1998 Controlled dynamic model with boundary-value problem of minimizing a sensitivity function. Zbl 1423.49028Antipin, Anatoly; Khoroshilova, Elena 2 2019 On methods of terminal control with boundary-value problems: Lagrange approach. Zbl 1354.90090Antipin, Anatoly; Khoroshilova, Elena 2 2016 Augmented Lagrangian method for optimal control problems. Zbl 1317.49024Antipin, Anatoly; Vasilieva, Olga 2 2015 Extraproximal method for solving two-person saddle-point games. Zbl 1274.91005Antipin, A. S.; Artem’eva, L. A.; Vasil’ev, F. P. 2 2011 The method of modified Lagrange function for optimal control problem. Zbl 1255.49047Antipin, Anatoliĭ Sergeevich 2 2011 Extragradient methods for optimal control problems with linear restrictions. Zbl 1259.49025Antipin, Anatoliǐ Sergeevich; Horoshilova, Elena Vladimirovna 2 2010 Second-order proximal differential systems with feedback control. Zbl 0815.34037Antipin, A. S. 1 1993 On non-gradient methods of optimization of saddle functions. Zbl 0695.90080Antipin, A. S. 1 1988 Regularized continuous extragradient method for solving a parametric multicriteria equilibrium programming problem. Zbl 1279.90156Vasilyev, F. P.; Antipin, A. S.; Artemieva, L. A. 1 2010 Regularized continuous extragradient method for a multicriterial equilibrium programming problem. Zbl 1240.90357Vasil’ev, F. P.; Antipin, A. S.; Artem’eva, L. A. 1 2010 A three-step method of linearization for minimization problems. Zbl 0839.90088Antipin, A. S.; Nedich, A.; Yachimovich, M. 1 1994 A residual method for equilibrium problems with an inexcactly specified set. Zbl 1052.90086Antipin, A. S.; Vasil’ev, F. P. 1 2001 Solving two-person nonzero-sum games with the help of differential equations. Zbl 1175.91015Antipin, A. S. 1 2003 A regularized extra-gradient method for solving the equilibrium programming problems. Zbl 1083.47502Antipin, A. S.; Vasil’ev, F. P.; Shpirko, S. V. 1 2003 Regularization methods of finding fixed-point of extremal mappings. Zbl 0962.47025Vasiljev, F. P.; Antipin, A. S. 1 1998 Gradient-proximal method of solving of extreme inclusions. Zbl 1016.90046Antipin, Anatoly 1 2000 Continuous linearization method with a variable metric for problems in convex programming. Zbl 0947.90084Amochkina, T. V.; Antipin, A. S.; Vasil’ev, F. P. 1 1997 Methods for solving equilibrium programming problems. Zbl 1111.90120Antipin, A. S.; Budak, B. A.; Vasil’ev, F. P. 1 2005 Extragradient method for solving an optimal control problem with implicitly specified boundary conditions. Zbl 1373.49034Antipin, A. S.; Artem’eva, L. A.; Vasil’ev, F. P. 1 2017 Extragradient approach to the solution of two person non-zero sum games. Zbl 1111.91300Antipin, Anatoly 1 2003 Methods of solving systems of convex programming problems. Zbl 0664.90071Antipin, A. S. 1 1987 Differential controlled gradient method for symmetric extremal mappings. Zbl 1126.90405Antipin, A. S. 1 1998 Controlled dynamic model with boundary-value problem of minimizing a sensitivity function. Zbl 1423.49028Antipin, Anatoly; Khoroshilova, Elena 2 2019 Extragradient method for solving quasivariational inequalities. Zbl 1394.49009Antipin, A. S.; Jaćimović, M.; Mijajlović, N. 11 2018 Feedback synthesis for a terminal control problem. Zbl 1416.49037Antipin, A. S.; Khoroshilova, E. V. 5 2018 Dynamics and variational inequalities. Zbl 1437.49016Antipin, A. S.; Jaćimović, Vladimir; Jaćimović, M. 5 2017 Extragradient method for solving an optimal control problem with implicitly specified boundary conditions. Zbl 1373.49034Antipin, A. S.; Artem’eva, L. A.; Vasil’ev, F. P. 1 2017 Saddle point approach to solving problem of optimal control with fixed ends. Zbl 1338.49066Antipin, Anatoly; Khoroshilova, Elena 4 2016 On methods of terminal control with boundary-value problems: Lagrange approach. Zbl 1354.90090Antipin, Anatoly; Khoroshilova, Elena 2 2016 Optimal control with connected initial and terminal conditions. Zbl 1321.49001Antipin, A. S.; Khoroshilova, E. V. 9 2015 Dynamic method of multipliers in terminal control. Zbl 1315.93042Antipin, A. S.; Vasilieva, O. O. 6 2015 Linear programming and dynamics. Zbl 1396.49001Antipin, Anatoly S.; Khoroshilova, Elena V. 5 2015 Augmented Lagrangian method for optimal control problems. Zbl 1317.49024Antipin, Anatoly; Vasilieva, Olga 2 2015 Terminal control of boundary models. Zbl 1313.93097Antipin, A. S. 13 2014 A boundary value problem of terminal control with a quadratic criterion of quality. Zbl 1342.49002Antipin, Anatoly Sergeevich; Khoroshilova, Elena Vladimirovna 6 2014 A second-order iterative method for solving quasi-variational inequalities. Zbl 1274.90422Antipin, A. S.; Mijajlovic, N.; Jacimovic, M. 9 2013 Two-person game with Nash equilibrium in optimal control problems. Zbl 1258.49062Antipin, Anatoly 9 2012 A second-order continuous method for solving quasi-variational inequalities. Zbl 1249.90274Antipin, A. S.; Jacimovic, M.; Mijailovic, N. 5 2011 Sensitivity function: properties and applications. Zbl 1249.49034Antipin, A. S.; Golikov, A. I.; Khoroshilova, E. V. 4 2011 Regularized extragradient method for finding a saddle point in an optimal control problem. Zbl 1294.49018Vasil’ev, F. P.; Khoroshilova, E. V.; Antipin, A. S. 4 2011 Extraproximal method for solving two-person saddle-point games. Zbl 1274.91005Antipin, A. S.; Artem’eva, L. A.; Vasil’ev, F. P. 2 2011 The method of modified Lagrange function for optimal control problem. Zbl 1255.49047Antipin, Anatoliĭ Sergeevich 2 2011 An extragradient method for finding the saddle point in an optimal control problem. Zbl 1255.65124Vasilyev, F. P.; Khoroshilova, E. V.; Antipin, A. S. 6 2010 Multicriteria equilibrium programming: Extragradient method. Zbl 1224.65150Antipin, A. S.; Artem’eva, L. A.; Vasil’ev, F. P. 3 2010 Extragradient methods for optimal control problems with linear restrictions. Zbl 1259.49025Antipin, Anatoliǐ Sergeevich; Horoshilova, Elena Vladimirovna 2 2010 Regularized continuous extragradient method for solving a parametric multicriteria equilibrium programming problem. Zbl 1279.90156Vasilyev, F. P.; Antipin, A. S.; Artemieva, L. A. 1 2010 Regularized continuous extragradient method for a multicriterial equilibrium programming problem. Zbl 1240.90357Vasil’ev, F. P.; Antipin, A. S.; Artem’eva, L. A. 1 2010 Extra-proximal methods for solving two-person nonzero-sum games. Zbl 1163.91303Antipin, Anatoly 11 2009 Multicriteria equilibrium programming problems and methods for their solutions. Zbl 1202.90230Antipin, Anatoly 4 2009 Equilibrium model of a credit market: statement of the problem and solution methods. Zbl 1224.91109Antipin, A. S.; Popova, O. A. 3 2009 Continuous extragradient method for a parametric multicriteria equilibrium programming problem. Zbl 1198.90352Vasil’ev, F. P.; Antipin, A. S.; Artem’eva, L. A. 2 2009 Saddle problem and optimization problem as an integrated system. Zbl 1182.90088Antipin, A. S. 2 2008 A regularized newton method for solving equilibrium programming problems with an inexactly specified set. Zbl 1210.90175Antipin, A. S.; Vasil’ev, F. P.; Stukalov, A. S. 6 2007 An extra proximal method for solving equilibrium programming problems and games. Zbl 1098.91004Antipin, A. S. 4 2005 Regularization methods for solving unstable equilibrium programming problems with coupled constraints. Zbl 1114.90150Antipin, A. S.; Vasil’ev, F. P. 3 2005 Methods for solving equilibrium programming problems. Zbl 1111.90120Antipin, A. S.; Budak, B. A.; Vasil’ev, F. P. 1 2005 Regularized prediction method for solving variational inequalities with an inexactly given set. Zbl 1077.65068Antipin, A. S.; Vasil’ev, F. P. 3 2004 A first-order continuous extra-gradient method with variable metric for solving equilibrium programming problems. Zbl 1147.90395Antipin, A. S.; Budak, B. A.; Vasil’ev, F. P. 2 2003 Solving two-person nonzero-sum games with the help of differential equations. Zbl 1175.91015Antipin, A. S. 1 2003 A regularized extra-gradient method for solving the equilibrium programming problems. Zbl 1083.47502Antipin, A. S.; Vasil’ev, F. P.; Shpirko, S. V. 1 2003 Extragradient approach to the solution of two person non-zero sum games. Zbl 1111.91300Antipin, Anatoly 1 2003 Gradient approach of computing fixed points of equilibrium problems. Zbl 1056.91001Antipin, Anatoly 17 2002 Multiplier methods in bilinear equilibrium programming with application to nonzero-sum games. Zbl 1119.90349Antipin, A. S. 3 2002 Regularization methods, based on the extension of a set, for solving an equilibrium programming problem with inexact input data. Zbl 1078.90066Antipin, A. S.; Vasil’ev, F. P. 2 2002 A regularized continuous extragradient method of the first order with a variable metric for problems of equilibrium programming. Zbl 1148.90342Antipin, A. S.; Budak, B. A.; Vasil’ev, F. P. 2 2002 Differential equations for equilibrium problems with coupled constraints. Zbl 1042.90616Antipin, Anatoly 3 2001 A residual method for equilibrium problems with an inexcactly specified set. Zbl 1052.90086Antipin, A. S.; Vasil’ev, F. P. 1 2001 Solution methods for variational inequalities with coupled constraints. Zbl 0999.65055Antipin, A. S. 22 2000 Solving variational inequalities with coupling contraints with the use of differential equations. Zbl 1016.49011Antipin, A. S. 5 2000 Gradient-proximal method of solving of extreme inclusions. Zbl 1016.90046Antipin, Anatoly 1 2000 A stabilization method for equilibrium programming problems with an approximately given set. Zbl 0976.90110Antipin, A. S.; Vasil’ev, F. P. 13 1999 Second-order controlled differential gradient methods for equilibrium problems. Zbl 1069.90546Antipin, A. S. 4 1999 A differential linearization method in equilibrium programming. Zbl 1052.90609Antipin, A. S. 2 1998 Regularization methods of finding fixed-point of extremal mappings. Zbl 0962.47025Vasiljev, F. P.; Antipin, A. S. 1 1998 Differential controlled gradient method for symmetric extremal mappings. Zbl 1126.90405Antipin, A. S. 1 1998 Equilibrium programming using proximal-like algorithms. Zbl 0890.90150Flåm, Sjur Didrik; Antipin, Anatoly S. 294 1997 Equilibrium programming: Proximal methods. Zbl 0944.90083Antipin, A. S. 21 1997 Equilibrium programming: Gradient methods. Zbl 0945.90063Antipin, A. S. 17 1997 Iterative gradient prediction-type methods for computing fixed points of extremal mapping. Zbl 0958.49022Antipin, Anatoly S. 14 1997 Equilibrium programming problems: Prox-regularization and prox-methods. Zbl 0898.90124Antipin, Anatoly 6 1997 Calculation of fixed points of extremal mappings by gradient-type methods. Zbl 0947.90102Antipin, A. S. 4 1997 Continuous linearization method with a variable metric for problems in convex programming. Zbl 0947.90084Amochkina, T. V.; Antipin, A. S.; Vasil’ev, F. P. 1 1997 A two-step linearization method for minimization problems. Zbl 1161.90460Antipin, 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 0852.65046Antipin, A. S. 31 1995 Prognostic-type iterative methods for calculation of fixed points of extremal mappings. Zbl 0855.90117Antipin, A. S. 11 1995 On a certain continuous minimization method with a variable metric. Zbl 0914.90213Antipin, A. S.; Vasil’ev, F. P. 3 1995 4-step method for linearizing minimization problems. Zbl 0883.49023Antipin, A. S.; Nedić, A.; Jačimović, M. 3 1995 On differential prediction-type gradient methods for computing fixed points of extremal mappings. Zbl 0882.49021Antipin, A. S. 2 1995 Minimization of convex functions in convex sets by means of differential equations. Zbl 0852.49021Antipin, A. S. 38 1994 Feedback-controlled saddle gradient processes. Zbl 0847.93050Antipin, A. S. 7 1994 On finite convergence of processes to a sharp minimum and to a smooth minimum with a sharp derivative. Zbl 0853.90089Antipin, A. S. 3 1994 A three-step method of linearization for minimization problems. Zbl 0839.90088Antipin, A. S.; Nedich, A.; Yachimovich, M. 1 1994 Proximal differential systems with feedback control. Zbl 0827.49013Antipin, A. S. 8 1993 Second-order proximal differential systems with feedback control. Zbl 0815.34037Antipin, A. S. 1 1993 Controlled proximal differential systems for saddle problems. Zbl 0821.49017Antipin, A. S. 16 1992 Continuous and iterative processes with projection operators and operators of projection type. Zbl 0694.65027Antipin, A. S. 23 1989 On non-gradient methods of optimization of saddle functions. Zbl 0695.90080Antipin, A. S. 1 1988 Methods for solving systems of convex programming problems. Zbl 0623.90063Antipin, A. S. 3 1987 Methods of solving systems of convex programming problems. Zbl 0664.90071Antipin, A. S. 1 1987 Über eine Methode zur Ermittlung des Sattelpunkts einer modifizierten Lagrangeschen Funktion. Zbl 0359.90063Antipin, A. S. 5 1977 Über eine Methode der konvexen Planung, welche eine symmetrische Modifizierung der Lagrangeschen Funktion verwendet. Zbl 0368.90115Antipin, A. S. 39 1976 all cited Publications top 5 cited Publications all top 5 Cited by 532 Authors 57 Kumam, Poom 32 Yao, Jen-Chih 28 Antipin, Anatoliĭ Sergeevich 26 Dang Van Hieu 15 Cho, Yeol Je 15 Konnov, Igor V. 15 Rehman, Habib Ur 15 Shehu, Yekini 14 Ceng, Lu-Chuan 14 Liou, Yeongcheng 13 Khoroshilova, Elena Vladimirovna 12 Ding, Xie Ping 12 Yao, Yonghong 11 Dương Việt Thông 11 Jolaoso, Lateef Olakunle 11 Pakkaranang, Nuttapol 11 Su, Yongfu 10 Kumam, Wiyada 10 Peng, Jianwen 10 Vasil’ev, Fedor Pavlovich 10 Wangkeeree, Rabian 9 Eslamian, Mohammad 9 Noor, Muhammad Aslam 8 Artem’eva, Lyudmila Anatol’evna 8 Dong, Qiaoli 8 Jaiboon, Chaichana 8 Katchang, Phayap 8 Ryazantseva, Irina Prokof’evna 7 Ansari, Qamrul Hasan 7 Bnouhachem, Abdellah 7 Cholamjiak, Prasit 7 Csetnek, Ernö Robert 7 Flåm, Sjur Didrik 7 Mewomo, Oluwatosin Temitope 7 Qin, Xiaolong 6 Aida-Zade, Kamil Rajab 6 Boţ, Radu Ioan 6 Clempner, Julio B. 6 Hai, Trinh Ngoc 6 Jaćimović, Milojica 6 Jitpeera, Thanyarat 6 Lê Dung Muu 6 Noor, Khalida Inayat 6 Plubtieng, Somyot 6 Quy, Pham Kim 6 Wairojjana, Nopparat 6 Wattanawitoon, Kriengsak 5 Budak, B. A. 5 Cai, Gang 5 Fang, Yaping 5 Gibali, Aviv 5 Hu, Rong 5 Iyiola, Olaniyi Samuel 5 Mijajlović, Nevena 5 Muangchoo, Kanikar 5 Nasri, Mostafa 5 Nilsrakoo, Weerayuth 5 Pham Ngoc Anh 5 Pholasa, Nattawut 5 Saejung, Satit 5 Semenov, Volodymyr V. 4 Alakoya, Timilehin Opeyemi 4 Du, Wei-Shih 4 Duong, Hoang Ngoc 4 Gebrie, Anteneh Getachew 4 He, Zhenhua 4 Jung, Jong Soo 4 Kanzow, Christian 4 Kazmi, Kaleem Raza 4 Kim, Jong Kyu 4 Liu, Lulu 4 Maingé, Paul-Emile 4 Petrot, Narin 4 Rizvi, Shuja Haider 4 Shang, Meijuan 4 Strodiot, Jean-Jacques 4 Vuong, Phan Tu 4 Yang, Jun 3 Abdullayev, Vaqif M. 3 Aremu, Kazeem Olalekan 3 Attouch, Hedy 3 Chadli, Ouayl 3 Chbani, Zaki 3 Colao, Vittorio 3 da Cruz Neto, João Xavier 3 Darvish, Vahid 3 Facchinei, Francisco 3 Huang, Nan-Jing 3 Jabeen, Saudia 3 Khunpanuk, Chainarong 3 Marino, Giuseppe 3 Moradlou, Fridoun 3 Morzhin, Oleg Vasil’evich 3 Özdemir, Murat Emin 3 Passacantando, Mauro 3 Pechen, Alexander Nikolaevich 3 Pham Ky Anh 3 Poznyak, Aleksandr Semënovich 3 Reich, Simeon 3 Riahi, Hassan ...and 432 more Authors all top 5 Cited in 138 Serials 46 Fixed Point Theory and Applications 26 Optimization 24 Computational Mathematics and Mathematical Physics 23 Journal of Optimization Theory and Applications 21 Journal of Global Optimization 18 Journal of Inequalities and Applications 14 Applied Mathematics and Computation 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Computational Mathematics and Modeling 14 Journal of Applied Mathematics 13 Optimization Letters 12 Nonlinear Analysis. Hybrid Systems 11 Journal of Computational and Applied Mathematics 10 Numerical Algorithms 10 Computational and Applied Mathematics 10 Abstract and Applied Analysis 9 Journal of Mathematical Analysis and Applications 7 Computers & Mathematics with Applications 7 Russian Mathematics 7 Computational Optimization and Applications 7 Optimization Methods & Software 7 Set-Valued and Variational Analysis 6 Automation and Remote Control 6 Differential Equations 6 Nonlinear Functional Analysis and Applications 5 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 5 Numerical Functional Analysis and Optimization 5 International Journal of Computer Mathematics 5 Journal of Applied Mathematics and Computing 5 Proceedings of the Steklov Institute of Mathematics 5 Journal of Fixed Point Theory and Applications 5 Journal of Nonlinear Science and Applications 5 AIMS Mathematics 4 Demonstratio Mathematica 4 SIAM Journal on Control and Optimization 4 Applied Mathematics and Mechanics. (English Edition) 4 Mathematical and Computer Modelling 4 Mathematical Programming. Series A. Series B 4 Thai Journal of Mathematics 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Journal of Function Spaces 4 Journal of Nonlinear and Variational Analysis 3 Applicable Analysis 3 Calcolo 3 International Journal of Mathematics and Mathematical Sciences 3 Acta Applicandae Mathematicae 3 Applied Numerical Mathematics 3 Annals of Operations Research 3 Cybernetics and Systems Analysis 3 Advances in Computational Mathematics 3 Mathematical Methods of Operations Research 3 International Game Theory Review 3 Mathematical Modelling and Analysis 3 Journal of Industrial and Management Optimization 3 Afrika Matematika 3 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 2 Bulletin of the Australian Mathematical Society 2 Applied Mathematics and Optimization 2 Moscow University Computational Mathematics and Cybernetics 2 Applied Mathematics Letters 2 European Journal of Operational Research 2 Doklady Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Acta Mathematica Sinica. English Series 2 RAIRO. Operations Research 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Fixed Point Theory 2 Mediterranean Journal of Mathematics 2 Korean Journal of Mathematics 2 Ural Mathematical Journal 1 International Journal of Control 1 Mathematical Methods in the Applied Sciences 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Operations Research 1 Opsearch 1 Quaestiones Mathematicae 1 Tamkang Journal of Mathematics 1 Cybernetics and Systems 1 Bulletin of the Korean Mathematical Society 1 Computers & Operations Research 1 Asia-Pacific Journal of Operational Research 1 Journal of Scientific Computing 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Review 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Dynamics and Differential Equations 1 Filomat 1 Top 1 Izvestiya: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Arab Journal of Mathematical Sciences 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 Nonlinear Dynamics 1 Vietnam Journal of Mathematics 1 Soft Computing ...and 38 more Serials all top 5 Cited in 27 Fields 336 Operator theory (47-XX) 225 Operations research, mathematical programming (90-XX) 220 Calculus of variations and optimal control; optimization (49-XX) 199 Numerical analysis (65-XX) 58 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Ordinary differential equations (34-XX) 17 Systems theory; control (93-XX) 10 Computer science (68-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Partial differential equations (35-XX) 6 Functional analysis (46-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 General topology (54-XX) 3 Differential geometry (53-XX) 3 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Biology and other natural sciences (92-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-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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