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Citation - WoS: 52
Citation - Scopus: 69
Quadruple Fixed Point Theorems for Nonlinear Contractions
(Pergamon-elsevier Science Ltd, 2012) Karapinar, Erdal; Nguyen Van Luong; Luong, Nguyen Van; Karapnar, Erdal
The 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.
Citation - WoS: 21
Citation - Scopus: 20
Coupled Coincidence Point Theorem in Partially Ordered Metric Spaces Via Implicit Relation
(Hindawi Ltd, 2012) Nguyen Manh Hung; Karapinar, Erdal; Nguyen Van Luong; Hung, Nguyen Manh; Luong, Nguyen Van; Van Luong, Nguyen
We prove a coupled coincidence point theorem for mappings F : X x X -> X and g : X -> X, where F has the mixed g-monotone property, in partially ordered metric spaces via implicit relations. Our result extends and improves several results in the literature. Examples are also given to illustrate our work.