Weak Contractions, Common Fixed Points, and Invariant Approximations

被引:19
作者
Hussain, Nawab [3 ]
Cho, Yeol Je [1 ,2 ]
机构
[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[2] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
来源
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2009年
关键词
BANACH OPERATOR PAIRS; COMPATIBLE MAPS; MAPPINGS;
D O I
10.1155/2009/390634
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 (f, theta, L)-weak contraction on a nonempty subset of a Banach space. As application, some results on the invariant best approximation are proved. Our results unify and substantially improve several recent results given by some authors. Copyright (C) 2009 N. Hussain and Y. J. Cho.
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页数:10
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