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

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:

Fixed point , α-admissible contraction mappings , Geraghty contraction , partial b_{v}(s)-metric