Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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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: 21Citation - Scopus: 27Extended Simulation Function Via Rational Expressions(Mdpi, 2020) Alqahtani, Badr; Karapinar, Erdal; Roldan Lopez de Hierro, Antonio Francisco; Alsubaie, RawanIn this paper, we introduce some common fixed point theorems for two distinct self-mappings in the setting of metric spaces by using the notion of a simulation function introduced in 2015. The contractivity conditions have not to be verified for all pairs of points of the space because it is endowed with an antecedent conditions. They are also of rational type because the involved terms in the contractivity upper bound are expressed, in some cases, as quotients.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 Citation - WoS: 10Citation - Scopus: 12A Discussion on P-Geraghty Contraction on Mw-Quasi Spaces(Mdpi, 2020) Fulga, Andreea; Karapinar, Erdal; Tirado, Pedro; Alegre, CarmenIn this paper we consider a kind of Geraghty contractions by using mw-distances in the setting of complete quasi-metric spaces. We provide fixed point theorems for this type of mappings and illustrate with some examples the results obtained.