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: 2017-07-01
Authors : Vahid Parvaneh; Nawab Hussain; Hasan Hosseinzadeh; Peyman Salimi;
Page : 85-104
Keywords : ${b}$-metric space; Partially ordered set; Coupled fixed point; Mixed monotone property;
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.
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Last modified: 2018-02-03 20:12:34