New Results and Generalizations for Approximate Fixed Point Property and Their Applications

Wei-Shih Du and Farshid Khojasteh

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

We first introduce the concept of manageable functions and then prove some new existence theorems related to approximate fixed point property for manageable functions and -admissible multivalued maps. As applications of our results, some new fixed point theorems which generalize and improve Du's fixed point theorem, Berinde-Berinde's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem, and Nadler's fixed point theorem and some well-known results in the literature are given.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:581267

DOI: 10.1155/2014/581267

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