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Article Citation - WoS: 15Fixed Point Results for Various Α-Admissible Contractive Mappings on Metric-Like Spaces(Hindawi Ltd, 2014) Al-Mezel, Saleh A.; Chen, Chi-Ming; Karapinar, Erdal; Rakocevic, VladimirWe establish some fixed point theorems for alpha-admissible mappings in the context of metric-like space via various auxiliary functions. In particular, we prove the existence of a fixed point of the generalized Meir-Keeler type alpha-phi-contractive self-mapping.. defined on a metric- like space X. The given results generalize, improve, and unify several fixed point theorems for the generalized cyclic contractive mappings that have appeared recently in the literature.Article Discussions on Perturbed Quasi-Metric Spaces(Yokohama Publishing, 2025) Karapinar, ErdalThe main goal of this manuscript is to introduce the notion of perturbed quasi-metric spaces. Furthermore, it shall discuss the existence of basic fixed point theorems in the setting of perturbed quasi-metric spaces.Article Fixed Point Results on Perturbed B-Metric Space(Univ Belgrade, Fac Electrical Engineering, 2025) Karapinar, ErdalIn this paper, we introduce the notion of perturbed b-metric spaces and consider some basic topological notions on this new abstract structure. In addition, we shall discuss the existing and uniqueness of a fixed point in the setting of perturbed b-metric spaces.Article Citation - WoS: 21Citation - Scopus: 20Coupled Coincidence Point Theorem in Partially Ordered Metric Spaces Via Implicit Relation(Hindawi Ltd, 2012) Nguyen Manh Hung; Karapinar, Erdal; Nguyen Van Luong; Hung, Nguyen Manh; Luong, Nguyen Van; Van Luong, NguyenWe prove a coupled coincidence point theorem for mappings F : X x X -> X and g : X -> X, where F has the mixed g-monotone property, in partially ordered metric spaces via implicit relations. Our result extends and improves several results in the literature. Examples are also given to illustrate our work.Article Citation - WoS: 16A Gap in the Paper "a Note on Cone Metric Fixed Point Theory and Its Equivalence" [nonlinear Anal. 72(5), (2010), 2259-2261](Gazi Univ, 2011) Abdeljawad, Thabet; Karapinar, ErdalThere is a gap in Theorem 2.2 of the paper of Du [1]. In this paper, we shall state the gap and repair it.Article Citation - WoS: 36Citation - Scopus: 62Discussion on Α - Ψ Contractions on Generalized Metric Spaces(Hindawi Ltd, 2014) Karapinar, ErdalWe discuss the existence and uniqueness of fixed points of alpha - psi contractive mappings in complete generalized metric spaces, introduced by Branciari. Our results generalize and improve several results in the literature.Article Citation - WoS: 22Citation - Scopus: 23A Coupled Fixed Point Result in Partially Ordered Partial Metric Spaces Through Implicit Function(Hacettepe Univ, Fac Sci, 2013) Gulyaz, Selma; Karapinar, Erdal; MathematicsIn this manuscript, we discuss the existence of coupled fixed points in the context of partially ordered metric spaces through implicit relations for mappings F:X x X -> X such that F has the mixed monotone property. Our main theorem improves and extends various results in the literature. We also state an example to illustrate our work.Article Citation - WoS: 35Fixed Point Theorem on Partial Metric Spaces Involving Rational Expressions(Univ Miskolc inst Math, 2013) Karapinar, Erdal; Shatanawi, Wasfi; Tas, KenanWe establish a fixed point theorem involving a rational expression in a complete partial metric space. Our result generalizes a well-known result in (usual) metric spaces. Also, we introduce an example to illustrate the usability of our result.Article Citation - WoS: 47Citation - Scopus: 46A Nadler-Type Fixed Point Theorem in Dislocated Spaces and Applications(Univ Miskolc inst Math, 2018) Aydi, H.; Felhi, A.; Karapinar, Erdal; Sahmim, S.In this paper, we introduce the concept of a Hausdorff dislocated metric. We initiate the study of fixed point theory for multi-valued mappings on dislocated metric space using the Hausdorff dislocated metric and we prove a generalization of the well known Nadler's fixed point theorem. Moreover, we provide some examples and we give an application of our main result.Editorial Citation - Scopus: 1Optimization Problems via Best Proximity Point Analysis(Hindawi Publishing Corporation, 2014) Jleli, Mohamed; Karapinar, Erdal; Petrusel, Adrian; Samet, Bessem; Vetro, Calogero[No Abstract Available]
