Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220211101Fixed point results in partially ordered partial $b_{v}(s)$-metric spaces3552501010.22075/ijnaa.2020.21085.2230ENEbru AltiparmakDepartment of Mathematics, Faculty of Science, Erzurum Technical University,
Erzurum, Turkey0000-0001-6722-0807Ibrahim KarahanDepartment of Mathematics, Faculty of Science, Erzurum Technical University,
Erzurum, TurkeyJournal Article20200811In 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.https://ijnaa.semnan.ac.ir/article_5010_3ee35e45a10c9dd3363d5e5d66266d38.pdf