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Article Citation - Scopus: 62Weak ø-Contraction on partial metric spaces(2012) Karapinar,E.In this manuscript, the notion of weak ø-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 ø-contraction. © 2012 EUDOXUS PR20E6SS, LLC.Article Citation - WoS: 40Citation - Scopus: 36Common Fixed Points for Generalized -Implicit Contractions in Partial Metric Spaces: Consequences and Application(Springer-verlag Italia Srl, 2015) Aydi, Hassen; Jellali, Manel; Karapinar, ErdalIn this paper, we introduce the concept of generalized -admissible pair of mappings generalizing the definition of -admissible mappings presented by Samet et al. (Nonlinear Anal 75:2154-2165, 2012). Based on above, we define generalized -implicit contractions in the setting of partial metric spaces and we provide some common fixed point results for such contractions. We also derive some consequences and corollaries from our obtained results. An application and some examples are presented making effective the new concepts and results.Article Citation - Scopus: 15Some Fixed Point Theorems on the Class of Comparable Partial Metric Spaces(2011) Karapinar,E.In this paper we present existence and uniqueness criteria of a fixed point for a self mapping on a non-empty set endowed with two comparable partial metrics. © Universidad Politécnica de Valencia.Article Citation - WoS: 63Citation - Scopus: 61Fixed Point Theorem for Cyclic Maps on Partial Metric Spaces(Natural Sciences Publishing Corp-nsp, 2012) Karapinar, E.; Erhan, I. M.; Ulus, A. Yildiz; MathematicsIn this paper, a class of cyclic contractions on partial metric spaces is introduced. A fixed point theorem for cyclic contractions on partial metric spaces satisfying (psi, phi) contractive condition, and illustrative examples are given.Article Citation - Scopus: 22On Ekeland's Variational Principle in Partial Metric Spaces(Natural Sciences Publishing Co., 2015) Aydi,H.; Karapinar,E.; Vetro,C.In this paper, lower semi-continuous functions are used to extend Ekeland's variational principle to the class of partial metric spaces. As consequences of our results, we obtain some fixed point theorems of Caristi and Clarke types. © 2015 NSP.
