Best simultaneous approximations, asymptotically nonexpansive mappings and variational inequalities in Banach spaces

被引：19

作者：

Khan, A. R. ^{[1
]}

Akbar, F. ^{[2
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[2] Univ Sargodha, Dept Math, Sargodha, Pakistan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 354卷 / 02期

关键词：

Common fixed point; Banach operator pair; Asymptotically; (f; g)-nonexpansive maps; Best simultaneous approximation; Variational inequalities; COMMON FIXED-POINTS; OPERATOR PAIRS; COMPATIBLE MAPS; THEOREMS;

D O I：

10.1016/j.jmaa.2009.01.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of common fixed points is established for three mappings where T is either generalized (f, g)-nonexpansive or asymptotically (f, g)-nonexpansive on a nonempty subset of a Banach space. As applications, the invariant best Simultaneous approximation results are proved and the existence of solution of variational inequalities is obtained. Our results unity and substantially improve several recent results existing in the current literature. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：469 / 477

页数：9

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