International Journal of Nonlinear Analysis and Applications
Fixed point results in partially ordered partial $b_{v}(s)$-metric spaces
Document Type : Research Paper
Authors
Department of Mathematics, Faculty of Science, Erzurum Technical University, Erzurum, Turkey
Abstract
In this paper, some fixed point results for generalized Geraghty type $α$-admissible contractive mappings and rational type generalized Geraghty contraction mappings are given in partially ordered partial $b_{v}(s)$-metric spaces. Also, a modified version of a partial $b_{v}(s)$-metric space is defined and a fixed point theorem is proved in this space. Finally, some examples are given related to the results.
Keywords
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Volume 12, Issue 2
November 2021Pages 35-52
- Receive Date: 11 August 2020
- Revise Date: 21 December 2020
- Accept Date: 26 December 2020