A hybrid subgradient algorithm for nonexpansive mappings and equilibrium problems

被引：25

作者：

Anh, P. N. ^{[1
]}

Muu, L. D. ^{[2
]}

机构：

[1] Posts & Telecommun Inst Technol, Dept Sci Fundamentals, Hanoi, Vietnam

[2] VAST, Inst Math, Hanoi, Vietnam

来源：

OPTIMIZATION LETTERS | 2014年 / 8卷 / 02期

关键词：

Equilibrium problems; Nonexpansive mappings; Pseudomonotone; Fixed point; VISCOSITY APPROXIMATION METHODS; STRONG-CONVERGENCE; FIXED-POINTS; WEAK;

D O I：

10.1007/s11590-013-0612-y

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We propose a strongly convergent algorithm for finding a common point in the solution set of a class of pseudomonotone equilibrium problems and the set of fixed points of nonexpansive mappings in a real Hilbert space. The proposed algorithm uses only one projection and does not require any Lipschitz condition for the bifunctions.

引用

页码：727 / 738

页数：12

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