Hybrid iterative scheme for a generalized equilibrium problems, variational inequality problems and fixed point problem of a finite family of κi-strictly pseudocontractive mappings

被引：3

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 | 2012年

关键词：

kappa-strict pseudo contraction mapping; alpha-inverse strongly monotone; generalized equilibrium problem; variational inequality; the S-mapping; WEAK-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; APPROXIMATION METHODS; SYSTEMS;

D O I：

10.1186/1687-1812-2012-30

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, by using the S-mapping and hybrid method we prove a strong convergence theorem for finding a common element of the set of fixed point problems of a finite family of kappa(i)-strictly pseudocontractive mappings and the set of generalized equilibrium defined by Ceng et al., which is a solution of two sets of variational inequality problems. Moreover, by using our main result we have a strong convergence theorem for finding a common element of the set of fixed point problems of a finite family of kappa(i)-strictly pseudocontractive mappings and the set of solution of a finite family of generalized equilibrium defined by Ceng et al., which is a solution of a finite family of variational inequality problems.

引用

页数：21

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