Fixed point results in partially ordered partial $b_{v}(s)$-metric spaces

Document Type : Research Paper


1 Erzurum Technical University -Faculty of Science- Department of Mathematic Erzurum/TURKEY

2 Erzurum Technical University- Faculty of Science-Department of Mathematic Erzurum/TURKEY


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.