Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - Scopus: 2Common Fixed Point, Baire's and Cantor's Theorems in Neutrosophic 2- Metric Spaces(Amer inst Mathematical Sciences-aims, 2022) Ahmad, Khaleel; Asjad, Muhammad Imran; Ali, Farhan; Jarad, Fahd; Ishtiaq, UmarThese fundamental Theorems of classical analysis, namely Baire's Theorem and Cantor's Intersection Theorem in the context of Neutrosophic 2-metric spaces, are demonstrated in this article. Naschie discussed high energy physics in relation to the Baire's Theorem and the Cantor space in descriptive set theory. We describe, how to demonstrate the validity and uniqueness of the common fixed-point theorem for four mappings in Neutrosophic 2-metric spaces.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: 10Citation - Scopus: 13On a New Fixed Point Theorem With an Application on a Coupled System of Fractional Differential Equations(Springer, 2020) Abdeljawad, Thabet; Afshari, Hojjat; Jarad, FahdIn this work, new theorems and results related to fixed point theory are presented. The results obtained are used for the sake of proving the existence and uniqueness of a positive solution of a coupled system of equations that involves fractional derivatives in the Riemann-Liouville settings and is subject to boundary conditions in the form of integrals.Article Citation - WoS: 199Citation - Scopus: 195Existence and Uniqueness of a Common Fixed Point on Partial Metric Spaces(Pergamon-elsevier Science Ltd, 2011) Abdeljawad, T.; Karapinar, E.; Tas, K.; Karapnar, E.In this work, a general form of the weak phi-contraction is considered on partial metric spaces, to get a common fixed point. It is shown that self-mappings S, T on a complete partial metric space X have a common fixed point if it is a generalized weak phi-contraction. (C) 2011 Elsevier Ltd. All rights reserved.