Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
Browse
66 results
Search Results
Article Extended Simulation Function via Rational Expressions(MDPI AG, 2020) de Hierro, Antonio Francisco Roldán López; Alsubaie, Rawan; Alqahtani, Badr; Karapinar, ErdalArticle A Discussion on P-Geraghty Contraction on Mw-Quasi-Metric Spaces(MDPI AG, 2020) Tirado, Pedro; Alegre, Carmen; Karapinar, Erdal; Fulga, AndreeaArticle Citation - Scopus: 13Existence of Fixed Point and Best Proximity Point of P-Cyclic Orbital φ-Contraction Map(Vilnius University Press, 2022) Magadevan, Prabavathy; Karapınar, Erdal; Karpagam, SaravananIn this manuscript, p-cyclic orbital phi-contraction map over closed, nonempty, convex subsets of a uniformly convex Banach space X possesses a unique best proximity point if the auxiliary function phi is strictly increasing. The given result unifies and extend some existing results in the related literature. We provide an illustrative example to indicate the validity of the observed result.Article A Behavioral Perspective on Price Convergence via Perturbed Metric Spaces with an Extended Contraction(Association of Mathematicians (MATDER), 2026) Bilazeroğlu, ŞeymaIn this study, we examine how investors update their price forecasts over time within a "perturbated metric space," which incorporates behavioral influences and market friction. Classical metric structures are inadequate when the measured distance changes with perceived deviations. Therefore, a new structure is proposed in which the measured distance is modified by perceived deviations. In this context, the existence of a fixed point is guaranteed through an extended contraction inequality, and the convergence behavior of the model is analyzed using different examples. Simulations established under different linear and nonlinear update functions demonstrate that the model can reflect both slow and fast market behaviors that reach equilibrium. The proposed approach mathematically demonstrates that investors can reach a common price expectation in the long run, even with heterogeneous psychological responses.Article Citation - WoS: 6Citation - Scopus: 7Fixed Point Results of a New Family of Hybrid Contractions in Generalised Metric Space With Applications(Amer inst Mathematical Sciences-aims, 2022) Jiddah, Jamilu Abubakar; Noorwali, Maha; Shagari, Mohammed Shehu; Rashid, Saima; Jarad, FahdIn this manuscript, a novel general family of contraction, called hybrid-interpolative ReichIstrat,escu-type (G-alpha-mu)-contraction is introduced and some fixed point results in generalised metric space that are not deducible from their akin in metric spaces are obtained. The preeminence of this class of contraction is that its contractive inequality can be extended in a variety of manners, depending on the given parameters. Consequently, a number of corollaries that reduce our result to other wellknown results in the literature are highlighted and analysed. Substantial examples are constructed to validate the assumptions of our obtained theorems and to show their distinction from corresponding results. Additionally, one of our obtained corollaries is applied to set up unprecedented existence conditions for solution of a family of integral equations.Article Citation - WoS: 6Citation - Scopus: 7Fixed Point Results in C*-Algebra Bipolar Metric Spaces With an Application(Amer inst Mathematical Sciences-aims, 2023) Gnanaprakasam, Arul Joseph; Isik, Huseyin; Jarad, Fahd; Mani, GunaseelanIn this work, we prove existence and uniqueness fixed point theorems under Banach and Kannan type contractions on C*-algebra-valued bipolar metric spaces. To strengthen our main results, an appropriate example and an effective application are presented.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 The Hausdorff-Pompeiu Distance in Gn-Menger Fractal Spaces(Mdpi, 2022) Saadati, Reza; Li, Chenkuan; Jarad, Fahd; O'Regan, Donal; O’Regan, DonalThis paper introduces a complete Gn-Menger space and defines the Hausdorff-Pompeiu distance in the space. Furthermore, we show a novel fixed-point theorem for Gn-Menger-theta-contractions in fractal spaces.Article Citation - WoS: 22Citation - Scopus: 25New Approach on Controllability of Hilfer Fractional Derivatives With Nondense Domain(Amer inst Mathematical Sciences-aims, 2022) Jothimani, Kasthurisamy; Ravichandran, Chokkalingam; Baleanu, Dumitru; Kumar, Devendra; Nisar, Kottakkaran SooppyThis work picturizes the results on the controllability of the nondense Hilfer neutral fractional derivative (HNFD). The uniqueness and controllability of HNFD are discussed with Winch theorem and Banach contraction technique. In addition, a numerical approximation is given to deal with different criteria of our results.Article Citation - WoS: 6Citation - Scopus: 9Neutral Functional Sequential Differential Equations With Caputo Fractional Derivative on Time Scales(Springernature, 2022) Lazreg, Jamal Eddine; Benkhettou, Nadia; Benchohra, Mouffak; Karapinar, ErdalIn this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle, the nonlinear alternative of Leray-Schauder type and Krasnoselskii fixed point theorem. As applications, two examples are included to show the applicability of our results.