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Citation - WoS: 143
Citation - Scopus: 141
Coupled Fixed Point Results for (ψ, Φ)-Weakly Contractive Condition in Ordered Partial Metric Spaces
(Pergamon-elsevier Science Ltd, 2011) Aydi, Hassen; Karapinar, Erdal; Shatanawi, Wasfi
In this paper, we prove some coupled fixed point theorems involving a (psi, phi)-weakly contractive condition for mapping having the mixed monotone property in ordered partial metric spaces. These results are analogous to theorems of Van Luong and Xuan Thuan (2011) [10] on the class of ordered partial metric spaces. Also, an application is given to support our results. (C) 2011 Elsevier Ltd. All rights reserved.
Citation - WoS: 52
Citation - Scopus: 69
Quadruple Fixed Point Theorems for Nonlinear Contractions
(Pergamon-elsevier Science Ltd, 2012) Karapinar, Erdal; Nguyen Van Luong
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.