Strong convergence theorem for a generalized equilibrium problem and system of variational inequalities problem and infinite family of strict pseudo-contractions

被引：5

作者：

Kangtunyakarn, Atid ^{[1
]}

机构：

[1] King Mongkuts Inst Technol Ladkrabang, Fac Sci, Dept Math, Bangkok 10520, Thailand

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

nonexpansive mappings; strongly positive operator; generalized equilibrium problem; strict pseudo-contraction; fixed point; FIXED-POINT PROBLEMS; NONEXPANSIVE-MAPPINGS; HILBERT-SPACES; WEAK;

D O I：

10.1186/1687-1812-2011-23

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we introduce a new mapping generated by an infinite family of kappa-strict pseudo-contractions and a sequence of positive real numbers. By using this mapping, we consider an iterative method for finding a common element of the set of a generalized equilibrium problem of the set of solution to a system of variational inequalities, and of the set of fixed points of an infinite family of strict pseudocontractions. Strong convergence theorem of the purposed iteration is established in the framework of Hilbert spaces.

引用

页数：16

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