New Generalized Mizoguchi-Takahashi’s Fixed Point Theorems for Essential Distances and e 0 -Metrics

Binghua Jiang, Huaping Huang and Wei-Shih Du
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Binghua Jiang: School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China
Huaping Huang: School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404020, China
Wei-Shih Du: Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan

Mathematics, 2019, vol. 7, issue 12, 1-15

Abstract: In this paper, we present some new generalizations of Mizoguchi-Takahashi’s fixed point theorem which also improve and extend Du-Hung’s fixed point theorem. Some new examples illustrating our results are also given. By applying our new results, some new fixed point theorems for essential distances and e 0 -metrics were established.

Keywords: ??-function; ??( ? )-function; ? -function; essential distance ( e -distance); e 0 -metric; Du-Hung’s fixed point theorem; Mizoguchi-Takahashi’s fixed point theorem; Nadler’s fixed point theorem; Banach contraction principle (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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