An extraproximal method for solving equilibrium programming problems in a Hilbert space

被引：0

作者：

Stukalov A.S. ^{[1
]}

机构：

[1] Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory, Moscow

来源：

Computational Mathematics and Mathematical Physics | 2006年 / 46卷 / 5期

基金：

俄罗斯基础研究基金会;

关键词：

Approximation; Equilibrium programming; Extraproximal method; Nash game; Regularization;

D O I：

10.1134/S0965542506050022

中图分类号：

学科分类号：

摘要：

A regularized method of the proximal type for solving equilibrium problems in a Hilbert space is proposed. The method is combined with an approximation of the original problem. The convergence of the method is analyzed, and a regularizing operator is constructed. © MAIK "Nauka/ Interperiodica" (Russia), 2006.

引用

页码：743 / 761

页数：18

共 50 条

[21] The subgradient extragradient method for solving mixed equilibrium problems and fixed point problems in hilbert spaces
Farid, Mohammad
Journal of Applied and Numerical Optimization, 2019, 1 (03): : 335 - 345
[22] REGULARIZED PROJECTION METHOD OF SOLVING SPLIT SYSTEM OF FIXED POINT SET CONSTRAINT EQUILIBRIUM PROBLEMS IN REAL HILBERT SPACE
Gebrie, Anteneh Getachew
Wangkeeree, Rabian
FIXED POINT THEORY, 2021, 22 (01): : 169 - 188
[23] Hybrid extragradient method for general equilibrium problems and fixed point problems in Hilbert space
Inchan, Issara
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2011, 5 (03) : 467 - 478
[24] A Modified Inertial Shrinking Projection Method for Solving Inclusion Problems and Split Equilibrium Problems in Hilbert Spaces
Cholamjiak, Watcharaporn
Khan, Suhel Ahmad
Suantai, Suthep
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2019, 10 (02): : 191 - 213
[25] Inertial subgradient extragradient method for solving pseudomonotone equilibrium problems and fixed point problems in Hilbert spaces
Xie, Zhongbing
Cai, Gang
Tan, Bing
OPTIMIZATION, 2024, 73 (05) : 1329 - 1354
[26] A regularized Newton method for solving equilibrium programming problems with an inexactly specified set
Antipin A.S.
Vasil'ev F.P.
Stukalov A.S.
Computational Mathematics and Mathematical Physics, 2007, 47 (1) : 19 - 31
[27] Modified Popov's Extragradient-like Method for Solving a Family of Strongly Pseudomonotone Equilibrium Problems in Real Hilbert Space
Yordsorn, Passakorn
Rehman, Habib ur
THAI JOURNAL OF MATHEMATICS, 2024, 22 (02): : 463 - 483
[28] The subgradient extragradient method extended to pseudomonotone equilibrium problems and fixed point problems in Hilbert space
Yang, Jun
Liu, Hongwei
OPTIMIZATION LETTERS, 2020, 14 (07) : 1803 - 1816
[29] The subgradient extragradient method extended to pseudomonotone equilibrium problems and fixed point problems in Hilbert space
Jun Yang
Hongwei Liu
Optimization Letters, 2020, 14 : 1803 - 1816
[30] Hybrid extragradient method for generalized mixed equilibrium problems and fixed point problems in Hilbert space
Suhong Li
Lihua Li
Lijun Cao
Xiujuan He
Xiaoyun Yue
Fixed Point Theory and Applications, 2013

← 1 2 3 4 5 →