Viscosity iterative algorithms for fixed point problems of asymptotically nonexpansive mappings in the intermediate sense and variational inequality problems in Banach spaces

被引：11

作者：

Cai, Gang ^{[1
]}

Shehu, Yekini ^{[2
]}

Iyiola, Olaniyi Samuel ^{[3
]}

机构：

[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

[2] Univ Nigeria, Dept Math, Nsukka, Nigeria

[3] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA

来源：

NUMERICAL ALGORITHMS | 2017年 / 76卷 / 02期

关键词：

Fixed point; Variational inequality; Asymptotically nonexpansive mapping in the intermediate sense; Banach spaces; NON-LINEAR SEMIGROUPS; CONVERGENCE THEOREMS; ACCRETIVE-OPERATORS; APPROXIMATION; BEHAVIOR; SYSTEM;

D O I：

10.1007/s11075-017-0269-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a generalized viscosity algorithm for finding a fixed point of an asymptotically nonexpansive mapping in the intermediate sense which is also a solution to a variational inequality problem of two inverse-strongly monotone operators in 2-uniformly smooth and uniformly convex Banach spaces. Strong convergence theorems are given under suitable assumptions imposed on the parameters. The results obtained in this paper improve and extend many recent ones in the literature. Three numerical examples are also given to show the efficiency and implementation of our results.

引用

页码：521 / 553

页数：33

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[1] Viscosity iterative algorithms for fixed point problems of asymptotically nonexpansive mappings in the intermediate sense and variational inequality problems in Banach spaces
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