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Article Citation - WoS: 3Citation - Scopus: 3Quadruple Fixed Point Theorems for Nonlinear Contractions on Partial Metric Spaces(Univ Politecnica Valencia, Editorial Upv, 2014) Karapinar, Erdal; Tas, KenanThe notion of coupled fixed point was introduced by Guo and Laksmikantham [12]. Later Gnana Bhaskar and Lakshmikantham in [11] investigated the coupled fixed points in the setting of partially ordered set by defining the notion of mixed monotone property. Very recently, the concept of tripled fixed point was introduced by Berinde and Borcut [7]. Following this trend, Karapmar[19] defined the quadruple fixed point. In this manuscript, quadruple fixed point is discussed and some new fixed point theorems are obtained on partial metric spaces.Article Citation - Scopus: 6A Generalization of the Meir–keeler Type Contraction(Elsevier B.V., 2012) Chi,K.P.; Karapinar,E.; Thanh,T.D.In this paper, we prove a fixed point theorem which has applications on maps called T-contractions which include a class that satisfies the Meir–Keeler type contractive condition. We also present an example that illustrates that T-contractions are a natural extension of the Meir–Keeler type contraction. © 2012Article Citation - WoS: 51Citation - Scopus: 61Quadruple Fixed Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces(Duke Univ Press, 2012) Karapinar, Erdal; Berinde, VasileIn this paper we obtain existence and uniqueness results for quadruple fixed points of operators F : X-4 -> X. We also give some examples to support our results.Article Citation - WoS: 14Citation - Scopus: 12On the Fixed Point Theorems for Generalized Weakly Contractive Mappings On Partial Metric Spaces(Springer Singapore Pte Ltd, 2013) Chi, K. P.; Karapinar, E.; Thanh, T. D.; MathematicsIn this paper, we prove a fixed point theorem for a pair of generalized weakly contractive mappings in complete partial metric spaces. The are generalizations of very recent fixed point theorems due to Abdeljawad, Karapmar and Tas.
