Asymptotically Pseudocontractions, Banach Operator Pairs and Best Simultaneous Approximations

被引：10

作者：

Hussain, N. ^{[1
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

COMMON FIXED-POINTS; NONEXPANSIVE-MAPPINGS; INVARIANT APPROXIMATIONS; COMPATIBLE MAPS; HILBERT-SPACES; CONTRACTIONS; CONVERGENCE; PRINCIPLE;

D O I：

10.1155/2011/812813

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 the mappings where T is asymptotically f-pseudo-contraction on a nonempty subset of a Banach space. As applications, the invariant best simultaneous approximation and strong convergence results are proved. Presented results are generalizations of very recent fixed point and approximation theorems of Khan and Akbar (2009), Chen and Li (2007), Pathak and Hussain (2008), and several others.

引用

页数：11

共 34 条

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