18 results
Search Results
Now showing 1 - 10 of 18
Article Citation - WoS: 8Citation - Scopus: 9On Common Fixed Point Theorems Without Commuting Conditions in Tvs-Cone Metric Spaces(Eudoxus Press, Llc, 2011) Karapinar, Erdal; Yuksel, Ugur; MathematicsIn this manuscript, some common fixed point theorems without any commuting conditions investigated in TVS-valued metric spaces.Article Citation - WoS: 5On Some Fixed Point Results in Extended Strong b-spaces(int Center Scientific Research & Studies, 2018) Alqahtani, Badr; Karapinar, Erdal; Khojasteh, FarshidIn this paper, we propose a notion of a strong extended b-metric space and investigate the existence and uniqueness of a fixed point of certain operators.Article Citation - WoS: 9Citation - Scopus: 12Some Integral Type Common Fixed Point Theorems Satisfying Φ-Contractive Conditions(Belgian Mathematical Soc Triomphe, 2014) Chauhan, Sunny; Karapinar, ErdalIn this manuscript, we obtain some common fixed point results of two pairs having the common limit range property in the setting of integral type contraction in the framework of symmetric (semi-metric) spaces. Moreover, we extend our results from two pairs of self-mappings to four finite families of self mappings to get common fixed points. Our results improve and extend a host of previously known results. Further, we establish some illustrative examples to show the validity of the main results.Article Citation - WoS: 3On Ciric Type φ-Geraghty Contractions(Chiang Mai Univ, Fac Science, 2019) Alqahtani, Badr; Fulga, Andreea; Karapinar, ErdalIn this paper we introduce the notions of phi-Geraghty contractions and Ciric type phi-Geraghty contractions. We also investigate under which conditions such mappings posses a unique fixed point in the framework of complete metric spaces. We consider examples to show the validity of our main results.Article Citation - WoS: 1TRIPLE FIXED POINT THEOREMS FOR WEAK (ψ-φ)-CONTRACTIONS(Eudoxus Press, Llc, 2013) Karapinar, Erdal; Sadarangani, KishinThe notion of coupled fixed point is introduced in by Bhaskar and Lakshmikantham in [2]. Very recently, the concept of the tripled fixed point is introduced by Berinde and Borcut [1]. They also proved some triple fixed point theorems. In this manuscript, by using the weak (psi - phi)-contraction, the results of Berinde and Borcut [1] are generalized.Article Citation - WoS: 1Remarks on Coupled Fixed Point Theorems in Partially Ordered Metric Spaces(int Center Scientific Research & Studies, 2012) Karapinar, ErdalIn this manuscript, we prove new coupled fixed point theorems extending some recent results in the literature on this topic. We also present applications of these new results through a number of examples.Article Citation - WoS: 1Relationships Between Tropical Eigenvectors and Tropical Fixed Points of the Group gl(2, R)(Forum Editrice Univ Udinese, 2020) Hayat, Umar; Farid, Ghulam; Karapinar, Erdal; MathematicsThe eigenvalues, eigenvectors and fixed points of matrices have many applications in various branches of science and many mathematical disciplines. In this paper first we introduce the concept of tropical fixed points, then we calculate the tropical eigenvalues and tropical eigenvectors of GL(2, R). Furthermore we give relationships between tropical eigenvectors and tropical fixed points of GL(2, R).Article Citation - WoS: 54WEAK φ-CONTRACTION ON PARTIAL METRIC SPACES(Eudoxus Press, Llc, 2012) Karapinar, ErdalIn this manuscript, the notion of weak phi-contraction is considered on partial metric space. It is shown that a self mapping T on a complete partial metric space X has a fixed point if they satisfied weak phi-contraction.Article Citation - WoS: 1Rational Contractive Mappings of Integral Type on b-metric Spaces(Univ Prishtines, 2017) Alsulami, Hamed H.; Karapinar, Erdal; Piri, Hossien; Rahrovi, Samira; Zarghami, RamazanThe aim of this paper is to introduce (alpha, psi)- rational contractive mappings of integral type and analyze the existence of fixed points for these mappings in b-metric spaces. Our results extend the results in Karapinar et al. [35] and well known fixed point theorems in the literature.Article Citation - WoS: 5AN IMPLICIT RELATION FOR MEIR-KEELER TYPE MAPPINGS ON METRIC-LIKE SPACES(Univ Prishtines, 2017) Aydi, Hassen; Felhi, Abdelbasset; Karapinar, Erdal; Alshaikh, H. AliIn this note, we introduce an implicit relation for Meir-Keeler type mappings via auxiliary pair of functions (alpha,psi) in the context of metric-like spaces. We investigate the existence and uniqueness of a common fixed point of such operators. The obtained results extend, improve and unify several existing fixed point results in the literature.
