WEAK CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEMS WITH NONLINEAR OPERATORS IN HILBERT SPACES

被引：0

作者：

Dhompongsa, S. ^{[1
]}

Takahashi, W. ^{[2
]}

Yingtaweesittikul, H. ^{[1
]}

机构：

[1] Chiang Mai Univ, Dept Math, Fac Sci, Chiang Mai 50200, Thailand

[2] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan

来源：

FIXED POINT THEORY | 2011年 / 12卷 / 02期

关键词：

Nonspreading mappings; monotone; Lipschitz-continuous mappings; variational inequalities; fixed points; NONEXPANSIVE-MAPPINGS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce an iterative sequence for finding a common element of the set of fixed points of a nonspreading mapping, the set of solutions of an equilibrium problem and the set of solutions of the variational inequality problem for a monotone and Lipschitz-continuous mapping. We show that the sequence converges weakly to a common element of the above three sets.

引用

页码：309 / 320

页数：12

共 50 条

[1] STRONG CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEMS WITH NONLINEAR OPERATORS IN HILBERT SPACES
Dhompongsa, S.
Takahashi, W.
Yingtaweesittikul, H.
[J]. PACIFIC JOURNAL OF OPTIMIZATION, 2012, 8 (01): : 143 - 155
[2] Weak and strong convergence theorems for nonlinear mappings and system of generalized mixed equilibrium problems in Hilbert spaces
Cheng, Qingqing
Su, Yongfu
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (04): : 1433 - 1455
[3] WEAK CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEMS AND NONEXPANSIVE MAPPINGS AND NONSPREADING MAPPINGS IN HILBERT SPACES
Jiang, Li
Su, Yongfu
[J]. COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 27 (03): : 505 - 512
[4] NONLINEAR OPERATORS OF MONOTONE TYPE AND CONVERGENCE THEOREMS WITH EQUILIBRIUM PROBLEMS IN BANACH SPACES
Takahashi, Wataru
Yao, Jen-Chih
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (02): : 787 - 818
[5] WEAK AND STRONG CONVERGENCE THEOREMS FOR A SYSTEM OF MIXED EQUILIBRIUM PROBLEMS AND A NONEXPANSIVE MAPPING IN HILBERT SPACES
Plubtieng, Somyot
Sombut, Kamonrat
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (02) : 375 - 388
[6] Algorithms and Convergence Theorems for Mixed Equilibrium Problems in Hilbert Spaces
Chih-Sheng, Chuang
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2019, 40 (08) : 953 - 979
[7] Strong and weak convergence theorems for general mixed equilibrium problems and variational inequality problems and fixed point problems in Hilbert spaces
Cai, Gang
Bu, Shangquan
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 247 : 34 - 52
[8] Weak and strong convergence theorems for mixed equilibrium problems in Banach spaces
Saewan, Siwaporn
Cho, Yeol Je
Kumam, Poom
[J]. OPTIMIZATION LETTERS, 2014, 8 (02) : 501 - 518
[9] Weak and strong convergence theorems for mixed equilibrium problems in Banach spaces
Siwaporn Saewan
Yeol Je Cho
Poom Kumam
[J]. Optimization Letters, 2014, 8 : 501 - 518
[10] WEAK AND STRONG CONVERGENCE THEOREMS FOR TWO COMMUTATIVE NONLINEAR MAPPINGS IN HILBERT SPACES
Hojo, Mayumi
Takahashi, Wataru
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (08) : 1519 - 1533

← 1 2 3 4 5 →