Matematik Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413
Browse
9 results
Search Results
Article Citation - Scopus: 11An Open Discussion: Interpolative Metric Spaces(DergiPark, 2023) Karapınar, E.The main goal of this paper is to introduce a new abstract structure (so called, interpolative metric space) as a generalization of a standard metric space. We shall consider the analog of Banach Mapping Principle in the context of this new structure. © 2023, DergiPark. All rights reserved.Article Citation - WoS: 1Citation - Scopus: 2Existence and Well-Posedness of Tripled Fixed Points With Application To a System of Differential Equations(Mdpi, 2022) Hammad, Hasanen A.; Nafea, Ahmed; Jarad, Fahd; Rashwan, Rashwan A.The purpose of this manuscript is to demonstrate the existence and uniqueness of triple fixed-point results for Geraghty-type contractions in ordinary metric spaces with binary relations. Moreover, the well-posedness of the tripled fixed point problem is investigated. Consequently, a-dominated mapping on such space is discussed. Ultimately, to promote our paper, some illustrative examples are derived, and the existence of the solution to a system of differential equations is obtained as an application.Article Citation - WoS: 9Citation - Scopus: 13Contraction in Rational Forms in the Framework of Super Metric Spaces(Mdpi, 2022) Karapinar, Erdal; Fulga, AndreeaIn this paper, we investigate contractions in a rational form in the context of the supermetric space, which is a very interesting generalization of the metric space. We consider an illustrative example to support this new result on supermetric space.Article Citation - WoS: 6Citation - Scopus: 7A Discussion on a Pata Type Contraction Via Iterate at a Point(Univ Nis, Fac Sci Math, 2020) Fulga, Andreea; Rakocevic, Vladimir; Karapinar, ErdalIn this paper, we introduce the notion of Pata type contraction at a point in the context of a complete metric space. We observe that such contractions possesses unique fixed point without continuity assumption on the given mapping. Thus, is extended the original results of Pata. We also provide an example to illustrate its validity.Article Citation - WoS: 2Citation - Scopus: 3Revisiting the Meir-Keeler Contraction Via Simulation Function(Univ Nis, Fac Sci Math, 2020) Fulga, Andreea; Kumam, Poom; Karapinar, ErdalIn this paper, we aim to obtain a fixed point theorem which guarantee the existence of a fixed point for both the continuous and discontinuous mappings that fullfill certain conditions in the context of metric space. We also consider some examples to illustrate our results.Article Citation - WoS: 6Citation - Scopus: 8A Study of Common Fixed Points That Belong To Zeros of a Certain Given Function With Applications(Vilnius Univ, inst Mathematics & informatics, 2021) Imdad, Mohammad; Karapinar, Erdal; Saleh, Hayel N.In this paper, we establish some point of phi-coincidence and common phi-fixed point results for two self-mappings defined on a metric space via extended C-G-simulation functions. By giving an example we show that the obtained results are a proper extension of several well-known results in the existing literature. As applications of our results, we deduce some results in partial metric spaces besides proving an existence and uniqueness result on the solution of system of integral equations.Article Citation - WoS: 2Citation - Scopus: 2A Result on a Pata-Ciri Type Contraction at a Point(Mdpi, 2020) Fulga, Andreea; Rakocevic, Vladimir; Karapinar, ErdalIn this manuscript, we define a new contraction mapping, Pata-Ciri type contraction at a point, that merges distinct contractions defined by Seghal, Pata and Ciri. We proved that in a complete space, each Pata-Ciri type contraction at a point possesses a fixed point. We express an example to illustrate the observed result.Article A Result On A Pata-Ciric Type Contraction At A Point(MDPI AG, 2020) Karapınar, Erdal; Fulga, Andreea; Rakoˇcevi´c, VladimirIn this manuscript, we define a new contraction mapping, Pata-Cirictype contraction at a point, that merges distinct contractions defined by Seghal, Pata and Ciric. We proved that in a complete space, each Pata-Cirictype contraction at a point possesses a fixed point. We express an example to illustrate the observed result.Article Citation - WoS: 52Citation - Scopus: 63A Numerical Schemes and Comparisons for Fixed Point Results With Applications To the Solutions of Volterra Integral Equations in Dislocated Extended B - Metric Space(Elsevier, 2020) Karapinar, Erdal; Atangana, Abdon; Panda, Sumati KumariIn this article, we propose a generalization of both b-metric and dislocated metric, namely, dislocated extended b-metric space. After getting some fixed point results, we suggest a relatively simple solution for a Volterra integral equation by using the technique of fixed point in the setting of dislocated extended b-metric space. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.