Title of article :
Fixed Point Theorems for Geraghty Type Contraction Mappings in Complete Partial b_v(s)-Metric Spaces
Author/Authors :
Altiparmak ، Ebru Department of Mathematics - Faculty of Science - Erzurum Technical University , Karahan ، Ibrahim Department of Mathematics - Faculty of Science - Erzurum Technical University
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.
Keywords :
Generalized Geraghty contraction , Fixed point , Partial b_v(s) Metric Spaces , Generalized metric space
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
