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Article Citation - WoS: 43A Common Fixed Point Theorem for Cyclic Operators on Partial Metric Spaces(Univ Nis, Fac Sci Math, 2012) Karapinar, Erdal; Karapınar, Erdal; Shobkolaei, Nabi; Sedghi, Shaban; Vaezpour, S. Mansour; Karapınar, Erdal; Mathematics; MathematicsIn this paper, we prove a common fixed point theorem for two self-mappings satisfying certain conditions over the class of partial metric spaces. In particular, the main theorem of this manuscript extends some well-known fixed point theorems in the literature on this topic.Article Citation - WoS: 90Citation - Scopus: 95Common Fixed Points for Single-Valued and Multi-Valued Maps Satisfying a Generalized Contraction in -Metric Spaces(Springer int Publ Ag, 2012) Tahat, Nedal; Aydi, Hassen; Karapinar, Erdal; Shatanawi, WasfiIn this article, we establish some common fixed point theorems for a hybrid pair {} of single valued and multi-valued maps satisfying a generalized contractive condition defined on -metric spaces. Our results unify, generalize and complement various known comparable results from the current literature. 54H25; 47H10; 54E50.Article Citation - WoS: 24Citation - Scopus: 25On Common Best Proximity Points for Generalized Α - Ψ-Proximal Contractions(int Scientific Research Publications, 2016) Aydi, Hassen; Felhi, Abdelbasset; Karapinar, ErdalWe establish some common best proximity point results for generalized alpha - psi-proximal contractive non -self mappings. We provide some concrete examples. We also derive some consequences on some best proximity results on a metric space endowed with a graph. (C) 2016 All rights reserved.Article Citation - WoS: 1Citation - Scopus: 2Common Fixed Point of Multifunctions on Partial Metric Spaces(Springer international Publishing Ag, 2015) Aleomraninejad, S. Mohammad Ali; Erhan, Inci M.; Kutbi, Marwan A.; Shokouhnia, MasoumehIn this paper, some multifunctions on partial metric space are defined and common fixed points of such multifunctions are discussed. The results presented in the paper generalize some of the existing results in the literature. Several conclusions of the main results are given.Article Citation - WoS: 13Citation - Scopus: 12Common Fixed Point Theorems of Integral Type Contraction on Metric Spaces and Its Applications To System of Functional Equations(Springer international Publishing Ag, 2015) Sarwar, Muhammad; Zada, Mian Bahadur; Erhan, Inci M.In this article, using the common (CLR) property, common fixed point results for two pairs of weakly compatible mappings satisfying contractive condition of integral type on metric spaces are established. Furthermore, the existence and uniqueness of common solution for system of functional equations arising in dynamic programming are discussed as an application of a common fixed point theorem presented in this paper.Article Citation - WoS: 4On common fixed points that belong to the zero set of a certain function(int Scientific Research Publications, 2017) Karapinar, Erdal; Samet, Bessem; Shahi, PriyaWe provide sufficient conditions under which the set of common fixed points of two self-mappings f, g : X -> X is nonempty, and every common fixed point of f and g is the zero of a given function phi : X -> [0, infinity). Next, we show the usefulness of our obtained result in partial metric fixed point theory. (C) 2017 All rights reserved.Article Citation - WoS: 3Citation - Scopus: 4A Short-Note on 'common Fixed Point Theorems for Non-Compatible Self-Maps in Generalized Metric Spaces'(Springer international Publishing Ag, 2015) Roldan-Lopez-de-Hierro, Antonio-Francisco; Karapinar, Erdal; Alsulami, Hamed H.The main aim of this short-note is point out that certain hypotheses assumed on some results in the very recent paper (Yang in J. Inequal. Appl. 2014:275, 2014) are unnecessary, and the results contained in that manuscript can easily be improved.Article Citation - WoS: 68A Note on Common Fixed Point Theorems in Partial Metric Spaces(Univ Miskolc inst Math, 2011) Karapinar, ErdalIn this manuscript, we consider the notion of generalized Sehgal contraction condition in a partial metric space. For the pair of two self mappings (S, T) which satisfies Sehgal contraction condition, we obtain a unique common fixed point.Article Citation - WoS: 9Citation - Scopus: 14Sehgal Type Contractions on b-Metric Space(Mdpi, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, ErdalIn this paper, we analyze two discontinuous self-mappings that satisfy Sehgal-type inequalities in the setup of complete b-metric space. The main results of the paper cover and extend a few existing results in the corresponding literature. Furthermore, we give some illustrative examples to verify the effectiveness and strength of our derived results. Thereafter, as an application, we consider the obtained result to aggregate the existence and uniqueness of the solution for nonlinear Fredholm integral equations.Article Citation - WoS: 1Citation - Scopus: 2On an Extension of Contractivity Conditions Via Auxiliary Functions(Springer international Publishing Ag, 2015) Agarwal, Ravi P.; Karapinar, Erdal; Roldan-Lopez-de-Hierro, Antonio-FranciscoIn this manuscript, we study sufficient conditions on the functions that appears in very complex contractivity conditions introduced in a recent manuscript by Liu et al. in order to guarantee the existence and uniqueness of common fixed points of four self-mappings.
