Hybrid iterative method for systems of generalized equilibria with constraints of variational inclusion and fixed point problems

被引：3

作者：

Latif, Abdul ^{[1
]}

Al-Mazrooei, Abdullah E. ^{[1
]}

Alofi, Abdulaziz S. M. ^{[1
]}

Yao, Jen-Chih ^{[1
,2
]}

机构：

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

[2] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 807, Taiwan

来源：

FIXED POINT THEORY AND APPLICATIONS | 2014年

关键词：

system of generalized equilibrium problems; generalized mixed equilibrium; variational inclusion; nonexpansive mapping; asymptotically strict pseudocontractive mapping in the intermediate sense; maximal monotone mapping; STRONG-CONVERGENCE THEOREMS; EXTRAGRADIENT METHOD; BANACH-SPACES; MAPPINGS;

D O I：

10.1186/1687-1812-2014-164

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and analyze an iterative algorithm by the hybrid iterative method for finding a solution of the system of generalized equilibrium problems with constraints of several problems: a generalized mixed equilibrium problem, finitely many variational inclusions, and the common fixed point problem of an asymptotically strict pseudocontractive mapping in the intermediate sense and infinitely many nonexpansive mappings in a real Hilbert space. Weak convergence result under mild assumptions will be established.

引用

页数：22

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