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Citation - WoS: 62
Citation - Scopus: 82
Meir-Keeler Α-Contractive Fixed and Common Fixed Point Theorems
(Springer international Publishing Ag, 2013) Abdeljawad, Thabet
Generalized Meir-Keeler alpha-contractive functions and pairs are introduced and their fixed and common fixed point theorems are obtained. Also, the so-called generalized Meir-Keeler alpha-f-contractive maps commuting with f are introduced and their coincidence and common fixed point theorems are investigated. New sufficient conditions different from those in (Samet et al. in Nonlinear Anal. 75:2154-2165, 2012) are used. An application to the coupled fixed point is established as well. An example is given to show that the alpha-Meir-Keeler generalization is real. AMS Subject Classification: 47H10, 54H25.
Citation - WoS: 80
Citation - Scopus: 94
Fixed Points for Generalized Weakly Contractive Mappings in Partial Metric Spaces
(Pergamon-elsevier Science Ltd, 2011) Abdeljawad, Thabet
Partial metric spaces were introduced by S. G. Matthews in 1994 as a part of the study of denotational semantics of dataflow networks. In this article, we prove fixed point theorems for generalized weakly contractive mappings on partial metric spaces. These theorems generalize many previously obtained results. An example is given to show that our generalization from metric spaces to partial metric spaces is real. (C) 2011 Elsevier Ltd. All rights reserved.

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