Some Results for #262;irić–Prešić Type Contractions in IF/I-Metric Spaces

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 f...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 15; no. 8
Main Author Ozturk, Vildan
Format Journal Article
LanguageEnglish
Published MDPI AG 01.08.2023
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Summary: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15081521