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Article Citation - WoS: 25Citation - Scopus: 25On the Extended Multivalued Geraghty Type Contractions(int Scientific Research Publications, 2016) Afshari, Hojjat; Alsulami, Hamed H.; Karapinar, ErdalIn this paper we present some absolute retract results for modified Geraghty multivalued type contractions in b-metric space. Our results, generalize several existing results in the corresponding literature. We also present some examples to support the obtained results. (C) 2016 all rights reserved.Article Citation - WoS: 46Citation - Scopus: 49Fixed Point Theorems for Generalized (α* - Ψ)-Ciric Contractive Multivalued Operators in b-metric Spaces(int Scientific Research Publications, 2016) Bota, Monica-Felicia; Chifu, Cristian; Karapinar, ErdalIn this paper we introduce the notion (alpha(*) - psi)- Ciric-type contractive multivalued operator and investigate the existence and uniqueness of fixed point for such a mapping in b-metric spaces. The well-posedness of the fixed point problem and the Ulam-Hyres stability is also studied. (C) 2016 All rights reserved.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: 13Fixed Point Theorems for (α, Ψ)-Meir Mappings(int Scientific Research Publications, 2015) Redjel, Najeh; Dehici, Abdelkader; Karapinar, Erdal; Erhan, Inci M.In this paper, we establish fixed point theorems for a (alpha, psi)-Meir-Keeler-Khan self mappings. The main result of our work is an extension of the theorem of Khan [M. S. Khan, Rend. Inst. Math. Univ. Trieste. Vol VIII, Fase., 10 (1976), 1-4]. We also give some consequences. (C)2015 All rights reserved.Article Citation - WoS: 7A New Fixed Point Result Via Property P With an Application(int Scientific Research Publications, 2017) Mustafa, Zead; Jaradat, M. M. M.; Karapinar, ErdalThe purpose of this paper is to introduce a new contractive condition. We prove the existence and uniqueness of a fixed point of self-mapping under this new contractive condition. Moreover, we observe analog of these results for the mappings that satisfy the property P. An application on integral equations is presented to illustrate the main result. Our results extend and generalize well-known results in the literature. (C) 2017 All rights reserved.Article Citation - WoS: 20Ciric Types Nonunique Fixed Point Theorems on Partial Metric Spaces(int Scientific Research Publications, 2012) Karapinar, ErdalGiven a certain type of operator on a partial metric space, new Ciric types, non-unique fixed point theorems, generalizing the related work of Ciric [On some maps with a non-unique fixed point,Publications de L'Institut Mathematique, 17 (1974), 52-58], are proved. (C) 2012 NGA. All rights reserved.Article Citation - WoS: 1Some Fixed Point Results Via Measure of Noncompactness(int Scientific Research Publications, 2017) Chen, Chi-Ming; Karapinar, ErdalIn this paper, by using the measure of noncompactness and Meir-Keeler type mappings, we prove some new fixed point theorems for some certain mappings, namely, the weaker phi-Meir-Keeler type contractions, asymptotic weaker phi-Meir-Keeler type contractions, asymptotic sequence {phi(i)}-Meir-Keeler type contraction, xi-generalized comparison type contraction, and R-functional type psi-contractions. Our results improve and hence cover the well-known Darbo's fixed point theorem, and several related recent fixed point results. (C) 2017 All rights reserved.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: 4Citation - Scopus: 7On the Meir-Keeler Set Contractions(int Scientific Research Publications, 2016) Chen, Chi-Ming; Karapinar, Erdal; Chen, Guang-TingThis report is aim to investigate the fixed points of two classes of Meir-Keeler-Khan set contractions with respect to the measure of noncompactness. The proved results extend a number of recently announced theorems on the topic. (C) 2016 All rights reserved.
