A Generalized Contraction Principle With Control Functions on Partial Metric Spaces
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Date
2012
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-elsevier Science Ltd
Open Access Color
HYBRID
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
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Impulse
Top 1%
Influence
Top 10%
Popularity
Top 10%
Abstract
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.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254; Tas, Kenan/0000-0001-8173-453X; Abdeljawad, Thabet/0000-0002-8889-3768
Keywords
Partial metric space, Fixed point, Generalized contraction principle, Control functions, Computational Mathematics, Generalized contraction principle, Partial metric space, Computational Theory and Mathematics, Modelling and Simulation, Fixed point, Control functions, control functions, Fixed-point and coincidence theorems (topological aspects), partial metric space, Fixed-point theorems, fixed point, generalized contraction principle
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
49
Source
Computers & Mathematics with Applications
Volume
63
Issue
3
Start Page
716
End Page
719
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Citations
CrossRef : 41
Scopus : 80
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Mendeley Readers : 10
SCOPUS™ Citations
82
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Web of Science™ Citations
79
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1
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