New iterative methods for a common solution of fixed points for pseudo-contractive mappings and variational inequalities

被引：3

作者：

Wangkeeree, Rabian ^{[1
]}

Nammanee, Kamonrat ^{[2
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

[2] Univ Phayao, Sch Sci, Dept Math, Phayao 56000, Thailand

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

pseudo-contractive mapping; monotone mapping; strong convergence theorem; VISCOSITY APPROXIMATION METHODS; STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; BANACH-SPACES; EQUILIBRIUM PROBLEMS; WEAK-CONVERGENCE; HILBERT-SPACE; OPERATORS; ALGORITHM;

D O I：

10.1186/1687-1812-2013-233

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce three iterative methods 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 theorems for the proposed iterative methods are proved. Our results improve and extend some recent results in the literature.

引用

页数：17

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