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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
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: 52
Citation - Scopus: 47
A Generalized Contraction Principle in Partial Metric Spaces
(Pergamon-elsevier Science Ltd, 2012) Kieu Phuong Chi; Karapinar, Erdal; Tran Duc Thanh
In this paper, we prove fixed point theorems for generally contractive mappings in complete partial metric spaces. Theorems presented are generalizations of recent fixed point theorems of D. Ilic, V. Pavlovic, and V. Rakocevic. An example is also stated that illustrates our results are extensions of their theorems. (C) 2011 Elsevier Ltd. All rights reserved.