GCRIS :: Search

Search Results

Now showing 1 - 2 of 2

Citation - WoS: 59
Citation - Scopus: 68
Generalized (c)-conditions and Related Fixed Point Theorems
(Pergamon-elsevier Science Ltd, 2011) Karapinar, Erdal; Tas, Kenan
In this manuscript, the notion of C-condition [K. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl. 340 (2008) 1088-1095] is generalized. Some new fixed point theorems are obtained. (C) 2011 Elsevier Ltd. All rights reserved.
Citation - WoS: 79
Citation - Scopus: 82
A Generalized Contraction Principle With Control Functions on Partial Metric Spaces
(Pergamon-elsevier Science Ltd, 2012) Abdeljawad, Thabet; Karapinar, Erdal; Tas, Kenan
Partial metric spaces were introduced by Matthews in 1994 as a part of the study of denotational semantics of data flow networks. In this article, we prove a generalized contraction principle with control functions phi and psi on partial metric spaces. The theorems we prove generalize many previously obtained results. We also give some examples showing that our theorems are indeed proper extensions. (C) 2011 Elsevier Ltd. All rights reserved.