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Search Results (4)

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Keywords = the Ćirić type generalized F-contraction

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12 pages, 278 KiB  
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 1129
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
10 pages, 273 KiB  
Article
Fixed Point Results for a Family of Interpolative F-Contractions in b-Metric Spaces
by Nabanita Konwar and Pradip Debnath
Axioms 2022, 11(11), 621; https://doi.org/10.3390/axioms11110621 - 7 Nov 2022
Cited by 5 | Viewed by 1757
Abstract
In this paper, we introduce a new generalized concept, namely, extended interpolative Cirić–Reich–Rus-type F-contraction in b-metric space. In addition, we put forward the notion of interpolative Kannan-type F-contractions. Fixed point results for these new interpolative contraction mappings are established, and [...] Read more.
In this paper, we introduce a new generalized concept, namely, extended interpolative Cirić–Reich–Rus-type F-contraction in b-metric space. In addition, we put forward the notion of interpolative Kannan-type F-contractions. Fixed point results for these new interpolative contraction mappings are established, and non-trivial examples involving finite and infinite sets are provided to validate the results. Full article
(This article belongs to the Special Issue Nonlinear Functional Analysis in Natural Sciences)
12 pages, 303 KiB  
Article
On Recent Results Concerning F-Contraction in Generalized Metric Spaces
by Jelena Vujaković, Slobodanka Mitrović, Mirjana Pavlović and Stojan Radenović
Mathematics 2020, 8(5), 767; https://doi.org/10.3390/math8050767 - 11 May 2020
Cited by 20 | Viewed by 2652
Abstract
In this manuscript we discuss, consider, generalize, improve and unify several recent results for so-called F-contraction-type mappings in the framework of complete metric spaces. We also introduce ( φ , F ) -weak contraction and establish the corresponding fixed point result. Using [...] Read more.
In this manuscript we discuss, consider, generalize, improve and unify several recent results for so-called F-contraction-type mappings in the framework of complete metric spaces. We also introduce ( φ , F ) -weak contraction and establish the corresponding fixed point result. Using our new approach for the proof that a Picard sequence is a Cauchy in metric space, our obtained results complement and enrich several methods in the existing literature. At the end we give one open question for F-contraction of Ćirić-type mapping. Full article
(This article belongs to the Special Issue Quantum Algebras and Operator Theory)
20 pages, 961 KiB  
Article
Some Common Fixed Point Theorems for Generalized F-Contraction Involving w-Distance with Some Applications to Differential Equations
by Chirasak Mongkolkeha and Dhananjay Gopal
Mathematics 2019, 7(1), 32; https://doi.org/10.3390/math7010032 - 30 Dec 2018
Cited by 10 | Viewed by 4032
Abstract
In this paper, we introduce the Ćirić type generalized F-contraction and establish certain common fixed point results for such F-contraction in metric spaces with the w-distances. In addition, we give some examples to support our results. Finally, we apply our [...] Read more.
In this paper, we introduce the Ćirić type generalized F-contraction and establish certain common fixed point results for such F-contraction in metric spaces with the w-distances. In addition, we give some examples to support our results. Finally, we apply our results to show the existence of solutions of the second order differential equation. Full article
(This article belongs to the Special Issue Fixed Point Theory and Related Nonlinear Problems with Applications)
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