Browsing by Author "Nguyen Van Luong"

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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; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
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.
Citation - WoS: 52
Citation - Scopus: 69
Quadruple Fixed Point Theorems for Nonlinear Contractions
(Pergamon-elsevier Science Ltd, 2012) Karapinar, Erdal; Nguyen Van Luong; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
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.