Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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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, AndreeaConference Object Citation - WoS: 13Citation - Scopus: 12On Admissible Hybrid Geraghty Contractions(North Univ Baia Mare, 2020) Karapinar, Erdal; Karapınar, Erdal; Petrusel, Adrian; Petrusel, Gabriela; MatematikIn this manuscript, we introduce the notion of admissible hybrid Geraghty contraction and we investigate the existence of fixed points of such mappings in the setting of complete metric spaces. Our results not only extend and generalize several results in the fixed point theory literature, but also unify most of them. We give some corollaries to illustrate the novelty of the main result.Article Α-Ψ Contracting Perimeters of Triangles(Yokohama Publ, 2025) Shahi, Priya; Bilazeroglu, Seyma; Yalcin, CeylanThis work presents an advanced development of the newly established idea of "contracting perimeters of triangles". Our current strategy, constructed with the help of functions alpha and Psi, both covers existing research and yields new results. The "alpha-Psi-mapping contracting perimeters of triangles" concept is defined in this study. The differences between this concept and the contracting perimeters of triangles is illustrated with examples. Fixed point theorems are obtained for this type of mappings under some conditions.Article Citation - WoS: 2A Fixed Point Theorem for Ciric Type Contraction on Interpolative Metric Spaces(Yokohama Publ, 2024) Bilazeroglu, Seyma; Yalcin, CeylanThe purpose of this paper is is aimed at establishing a fixed point result in the framework of interpolative metric spaces, which has just been designated as a new research topic to prevent congestion in fixed point theory.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: 21Citation - Scopus: 18Recent Advances on Metric Fixed Point Theory: a Review(Ministry Communications & High Technologies Republic Azerbaijan, 2023) Karapinar, E.In this note, we underline that some of the recent metric fixed point results overlap or repeat the previously existing corresponding ones. Further, we observe that some recently published results, which we might perceive as a generalization from the first point of view, are in fact equivalent. For the clarification and clearing of the literature, this review paper claims to play a crucial role.