A new iterative method for a common solution of fixed points for pseudo-contractive mappings and variational inequalities

被引：9

作者：

Chamnarnpan, Tanom ^{[1
]}

Kumam, Poom ^{[1
]}

机构：

[1] KMUTT, Dept Math, Fac Sci, Bangkok 10140, Thailand

来源：

FIXED POINT THEORY AND APPLICATIONS | 2012年

关键词：

monotone mapping; nonexpansive mapping; pseudo-contractive mappings; variational inequality; WEAK-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; VISCOSITY APPROXIMATION; FINITE FAMILY; EQUILIBRIUM;

D O I：

10.1186/1687-1812-2012-67

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 iterative scheme for finding a common element of the set of fixed points for a continuous pseudo-contractive mapping and the solution set of a variational inequality problem governed by continuous monotone mappings. Strong convergence for the proposed iterative scheme is proved. Our results improve and extend some recent results in the literature. 2000 Mathematics Subject Classification: 46C05; 47H09; 47H10.

引用

页数：15

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