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Article Citation - Scopus: 71A Note on Common Fixed Point Theorems in Partial Metric Spaces(University of Miskolc, 2011) Karapinar,E.In 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. © 2011 Miskolc University Press.Article Citation - Scopus: 29Fixed Point Theorem on Partial Metric Spaces Involving Rational Expressions(University of Miskolc, 2013) Karapinar,E.; Shatanawi,W.; Tas,K.We 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. © Miskolc University Press.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.
