A General Composite Algorithms for Solving General Equilibrium Problems and Fixed Point Problems in Hilbert Spaces

被引：0
|
作者：
Wangkeeree, Rattanaporn [1 ]
Kamraksa, Uthai [1 ]
Wangkeeree, Rabian [1 ]
机构：
[1] Naresuan Univ, Dept Math, Fac Sci, Phitsanulok 65000, Thailand
来源：
ABSTRACT AND APPLIED ANALYSIS | 2011年
关键词：
VISCOSITY APPROXIMATION METHODS; WEAK-CONVERGENCE THEOREMS; FINDING COMMON SOLUTIONS; NONEXPANSIVE-MAPPINGS; MONOTONE MAPPINGS; ITERATIVE METHOD; VARIATIONAL-INEQUALITIES; EXTRAGRADIENT METHOD; OPTIMIZATION; MINIMIZATION;
D O I：
10.1155/2011/976412
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a general composite algorithm for finding a common element of the set of solutions of a general equilibrium problem and the common fixed point set of a finite family of asymptotically nonexpansive mappings in the framework of Hilbert spaces. Strong convergence of such iterative scheme is obtained which solving some variational inequalities for a strongly monotone and strictly pseudocontractive mapping. Our results extend the corresponding recent results of Yao and Liou (2010).
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页数：25
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