On generalized weakly directional contractions and approximate fixed point property with applications

被引：0
|
作者：
Wei-Shih Du
机构：
[1] National Kaohsiung Normal University,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2012卷
关键词：
-function; -metric; Reich's condition; -function(; -function); directional hidden contraction; approximate fixed point property; generalized Mizoguchi-Takahashi's fixed point theorem; generalized Berinde-Berinde's fixed point theorem;
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摘要：
In this article, we first introduce the concept of directional hidden contractions in metric spaces. The existences of generalized approximate fixed point property for various types of nonlinear contractive maps are also given. From these results, we present some new fixed point theorems for directional hidden contractions which generalize Berinde-Berinde's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem and some well-known results in the literature.
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