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Fixed Point Theorems for Geraghty Type Contraction Mappings in Complete Partial $b_{v}left( sright) $-Metric Spaces

Journal: Sahand Communications in Mathematical Analysis (Vol.18, No. 2)

Publication Date:

Authors : ; ;

Page : 45-62

Keywords : Generalized Geraghty contraction; Fixed point; Partial $b_{v}left( sright) $ metric spaces; Generalized metric space;

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Abstract

In this paper, necessary and sufficient conditions for the existence and uniqueness of fixed points of generalized Geraghty type contraction mappings are given in complete partial $b_{v}(s) $-metric spaces. The results are more general than several results that exist in the literature because of the considered space. A numerical example is given to support the obtained results. Also, the existence and uniqueness of the solutions of an integral equation has been verified considered as an application.

Last modified: 2021-11-03 14:32:34