Iterative Algorithms for Systems of Generalized Equilibrium Problems with the Constraints of Variational Inclusion and Fixed Point Problems

被引：2

作者：

Ceng, Lu-Chuan ^{[1
,2
]}

Latif, Abdul ^{[3
]}

Al-Mazrooei, Abdullah E. ^{[3
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Sci Comp Key Lab Shanghai Univ, Shanghai 200234, Peoples R China

[3] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

美国国家科学基金会;

关键词：

TOPOLOGICAL SEMILATTICE SPACES; HYBRID-EXTRAGRADIENT METHOD; WEAK-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; INEQUALITY PROBLEMS; ABSTRACT ECONOMIES; MONOTONE OPERATORS; HILBERT-SPACES;

D O I：

10.1155/2014/540381

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce and analyze a hybrid extragradient-like viscosity iterative algorithm for finding a common solution of a systems of generalized equilibrium problems and a generalized mixed equilibrium problem with the constraints of two problems: a finite family of variational inclusions for maximal monotone and inverse strongly monotone mappings and a fixed point problem of infinitely many nonexpansive mappings in a real Hilbert space. Under some suitable conditions, we prove the strong convergence of the sequence generated by the proposed algorithm to a common solution of these problems.

引用

页数：24

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