Strong convergence theorem for total quasi-φ-asymptotically nonexpansive mappings in a Banach space

被引：2

作者：

Saewan, Siwaporn ^{[1
]}

机构：

[1] Thaksin Univ TSU, Fac Sci, Dept Math & Stat, Paprayom 93110, Phatthalung, Thailand

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

total quasi-phi-asymptotically nonexpansive multi-valued mappings; hybrid scheme; equilibrium problem; variational inequality problems; inverse-strongly monotone operator; FIXED-POINT PROBLEMS; EQUILIBRIUM PROBLEMS; WEAK-CONVERGENCE; VARIATIONAL-INEQUALITIES; PROJECTION ALGORITHMS; MONOTONE-OPERATORS;

D O I：

10.1186/1687-1812-2013-297

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove strong convergence theorems to a point which is a fixed point of multi-valued mappings, a zero of an alpha-inverse-strongly monotone operator and a solution of the equilibrium problem. Next, we obtain strong convergence theorems to a solution of the variational inequality problem, a fixed point of multi-valued mappings and a solution of the equilibrium problem. The results presented in this paper are improvement and generalization of the previously known results.

引用

页数：19

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