%0 Journal Article
%T Fixed Point Theorems for Geraghty Type Contraction Mappings in Complete Partial $b_{v}\left( s\right) $-Metric Spaces
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Altiparmak, Ebru
%A Karahan, Ibrahim
%D 2021
%\ 05/01/2021
%V 18
%N 2
%P 45-62
%! Fixed Point Theorems for Geraghty Type Contraction Mappings in Complete Partial $b_{v}\left( s\right) $-Metric Spaces
%K Generalized Geraghty contraction
%K Fixed point
%K Partial $b_{v}left( sright) $ metric spaces
%K Generalized metric space
%R 10.22130/scma.2020.127414.799
%X 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.
%U https://scma.maragheh.ac.ir/article_242300_6bb3a33ecf2d5bdc49a9057a95dcd08a.pdf