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Article Citation - WoS: 4Citation - Scopus: 4Fixed Point Theorems for Generalized Weak Contractions Satisfying Rational Expression on a Ordered Partial Metric Space(Maik Nauka/interperiodica/springer, 2013) Karapinar, Erdal; Marudai, M.; Pragadeeswarar, V.The purpose of this manuscript is to present a fixed point theorem using a generalized weak contraction condition of rational type in the context of partial metric spaces.Article Citation - WoS: 13Citation - Scopus: 12Different Types Meir-Keeler Contractions on Partial Metric Spaces(Eudoxus Press, LLC, 2012) Erhan,I.M.; Karapinar,E.; Türkoǧlu,D.In this manuscript, Meir-Keeler contractions on partial metric spaces are introduced. It is shown that if a self-mapping T on a complete partial metric spaces is a Meir-Keeler contraction, then T has a unique fixed point. © 2012 EUDOXUS PRESS, LLC.Article Citation - WoS: 52Citation - Scopus: 47A Generalized Contraction Principle in Partial Metric Spaces(Pergamon-elsevier Science Ltd, 2012) Kieu Phuong Chi; Karapinar, Erdal; Tran Duc Thanh; Chi, Kieu Phuong; Thanh, Tran DucIn this paper, we prove fixed point theorems for generally contractive mappings in complete partial metric spaces. Theorems presented are generalizations of recent fixed point theorems of D. Ilic, V. Pavlovic, and V. Rakocevic. An example is also stated that illustrates our results are extensions of their theorems. (C) 2011 Elsevier Ltd. All rights reserved.Article Citation - WoS: 10Citation - Scopus: 6Fixed Point Results in Orbitally Complete Partial Metric Spaces(Malaysian Mathematical Sciences Soc, 2013) Nashine, Hemant Kumar; Karapinar, ErdalIn this paper, we prove two fixed point theorems for maps that satisfy a contraction principle involving a rational expression in complete partial metric spaces.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 - Scopus: 6Fixed Point Results in Orbitally Complete Partial Metric Spaces(2013) Nashine,H.K.; Karapinar,E.In this paper, we prove two fixed point theorems for maps that satisfy a contraction principle involving a rational expression in complete partial metric spaces.Article Citation - WoS: 167Citation - Scopus: 168Fixed Point Theorems for Operators on Partial Metric Spaces(Pergamon-elsevier Science Ltd, 2011) Karapinar, Erdal; Erhan, Inci M.; Karapnar, ErdalFixed point theorems for operators of a certain type on partial metric spaces are given. Orbitally continuous operators on partial metric spaces and orbitally complete partial metric spaces are defined, and fixed point theorems for these operators are given. (C) 2011 Elsevier Ltd. All rights reserved.Article Citation - WoS: 13DIFFERENT TYPES MEIR-KEELER CONTRACTIONS ON PARTIAL METRIC SPACES(Eudoxus Press, Llc, 2012) Erhan, I. M.; Karapinar, E.; Turkoglu, D.In this manuscript, Meir-Keeler contractions on partial metric spaces are introduced. It is shown that if a self-mapping T on a complete partial metric spaces is a Meir-Keeler contraction, then T has a unique fixed point.
