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.
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收藏
页数：24
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