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Search Results (2)

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Keywords = Prešić type almost F-contractive

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12 pages, 278 KB  
Article
Some Results for Ćirić–Prešić Type Contractions in F-Metric Spaces
by Vildan Ozturk
Symmetry 2023, 15(8), 1521; https://doi.org/10.3390/sym15081521 - 1 Aug 2023
Cited by 4 | Viewed by 1181
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, [...] Read more.
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. Full article
13 pages, 265 KB  
Article
Several Theorems on Single and Set-Valued Prešić Type Mappings
by Seher Sultan Yeşilkaya and Cafer Aydın
Mathematics 2020, 8(9), 1616; https://doi.org/10.3390/math8091616 - 18 Sep 2020
Cited by 2 | Viewed by 2426
Abstract
In this study, we introduce set-valued Prešić type almost contractive mapping, Prešić type almost F-contractive mapping and set-valued Prešić type almost F-contractive mapping in metric space and prove some fixed point results for these mappings. Additionally, we give examples to show [...] Read more.
In this study, we introduce set-valued Prešić type almost contractive mapping, Prešić type almost F-contractive mapping and set-valued Prešić type almost F-contractive mapping in metric space and prove some fixed point results for these mappings. Additionally, we give examples to show that our main theorems are applicable. These examples show that the new class of set-valued Prešić type almost F-contractive operators is not included in Prešić type class of set-valued Prešić type almost contractive operators. Full article
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