Iterative Schemes for Generalized Equilibrium Problem and Two Maximal Monotone Operators

被引:0
作者
L. C. Zeng
Y. C. Lin
J. C. Yao
机构
[1] Shanghai Normal University,Department of Mathematics
[2] Science Computing Key Laboratory of Shanghai Universities,Department of Occupational Safety and Health
[3] China Medical University,Department of Applied Mathematics
[4] National Sun Yat-sen University,undefined
来源
Journal of Inequalities and Applications | / 2009卷
关键词
Hilbert Space; Banach Space; Variational Inequality; Nonexpansive Mapping; Lower Semicontinuous;
D O I
暂无
中图分类号
学科分类号
摘要
The purpose of this paper is to introduce and study two new hybrid proximal-point algorithms for finding a common element of the set of solutions to a generalized equilibrium problem and the sets of zeros of two maximal monotone operators in a uniformly smooth and uniformly convex Banach space. We established strong and weak convergence theorems for these two modified hybrid proximal-point algorithms, respectively.
引用
收藏
相关论文
共 50 条
[41]   A Generalized Proximal Point Algorithm and Implicit Iterative Schemes for a Sequence of Operators on Banach Spaces [J].
Yasunori Kimura ;
Wataru Takahashi .
Set-Valued Analysis, 2008, 16 :597-619
[42]   A Generalized Proximal Point Algorithm and Implicit Iterative Schemes for a Sequence of Operators on Banach Spaces [J].
Kimura, Yasunori ;
Takahashi, Wataru .
SET-VALUED ANALYSIS, 2008, 16 (5-6) :597-619
[43]   An iterative algorithm for system of generalized equilibrium problems and fixed point problem [J].
Abdellah Bnouhachem .
Fixed Point Theory and Applications, 2014
[44]   An iterative algorithm for system of generalized equilibrium problems and fixed point problem [J].
Bnouhachem, Abdellah .
FIXED POINT THEORY AND APPLICATIONS, 2014,
[45]   J-variational inequalities and zeroes of a family of maximal monotone operators by sunny generalized nonexpansive retraction [J].
Zeynab Jouymandi ;
Fridoun Moradlou .
Computational and Applied Mathematics, 2018, 37 :5358-5374
[46]   HIERARCHICAL CONVERGENCE TO THE ZERO POINT OF MAXIMAL MONOTONE OPERATORS [J].
Yao, Yonghong ;
Liou, Yeong-Cheng ;
Wong, Mu-Ming ;
Ya, Jen-Chih .
FIXED POINT THEORY, 2012, 13 (01) :293-306
[47]   A Modified Picard S-Hybrid Iterative Process for Solving Split Generalized Equilibrium Problem [J].
Husain S. ;
Asad M. .
International Journal of Applied and Computational Mathematics, 2022, 8 (3)
[48]   Solvability and iterative algorithms for a system of generalized nonlinear mixed quasivariational inclusions with (Hi, ηi)-monotone operators [J].
Liu, Zeqing ;
Wang, Lili ;
Ume, Jeong Sheok ;
Kang, Shin Min .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012, :1-13
[49]   Solvability and iterative algorithms for a system of generalized nonlinear mixed quasivariational inclusions with (Hi,ηi)-monotone operators [J].
Zeqing Liu ;
Lili Wang ;
Jeong Sheok Ume ;
Shin Min Kang .
Journal of Inequalities and Applications, 2012
[50]   Strong convergence for maximal monotone operators, relatively quasi-nonexpansive mappings, variational inequalities and equilibrium problems [J].
Siwaporn Saewan ;
Poom Kumam ;
Yeol Je Cho .
Journal of Global Optimization, 2013, 57 :1299-1318