Some Results for Ćirić–Prešić Type Contractions in F-Metric Spaces
Symmetry, vol.15, no.8, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 15 Issue: 8
- Publication Date: 2023
- Doi Number: 10.3390/sym15081521
- Journal Name: Symmetry
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
- Keywords: almost contraction, best proximity, F-contraction, F-metric, fixed point
- Open Archive Collection: AVESIS Open Access Collection
- Ankara Haci Bayram Veli University Affiliated: No
Abstract
In this study, first, we introduce Ćirić–Prešić type contraction in F-metric spaces and prove a fixed point theorem for self mappings. We apply the fixed point results for a second-order differential equation. Therefore, we define Prešić type almost contraction and F-contraction, and we prove some fixed point theorems. In the last section, we prove the best proximity point theorems for Ćirić–Prešić type proximal contraction in F-metric spaces. Our results generalize the existing results in the literature.