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Coupled fixed point results for $alpha$-admissible Mizoguchi-Takahashi contractions in $b$-metric spaces with applications

Journal: Sahand Communications in Mathematical Analysis (Vol.7, No. 1)

Publication Date:

Authors : ; ; ; ;

Page : 85-104

Keywords : ${b}$-metric space; Partially ordered set; Coupled fixed point; Mixed monotone property;

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Abstract

The aim of this paper is to  establish some fixed point theorems for $alpha$-admissible Mizoguchi-Takahashi contractive mappings defined on a ${b}$-metric space which generalize the results of Gordji and Ramezani cite{Roshan6}. As a result, we obtain some coupled fixed point theorems which generalize the results of '{C}iri'{c} {et al.} cite{Ciric3}. We also present  an application in order to illustrate the effectiveness of our results.

Last modified: 2018-02-03 20:12:34