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Article Citation - WoS: 52Citation - Scopus: 69Quadruple Fixed Point Theorems for Nonlinear Contractions(Pergamon-elsevier Science Ltd, 2012) Karapinar, Erdal; Nguyen Van LuongThe notion of coupled fixed point is introduced by Gnana-Bhaskar and Lakshmikantham. Very recently, the concept of tripled fixed point was introduced by Berinde and Borcut. In this manuscript, a quadruple fixed point is considered and some new related fixed point theorems are obtained. We also give some examples to illustrate our results. (c) 2012 Elsevier Ltd. All rights reserved.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 - 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.
