A generalized contraction principle with control functions on partial metric spaces

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Date

2012

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Pergamon-elsevier Science Ltd

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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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

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Citation

77

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Volume

63

Issue

3

Start Page

716

End Page

719

URI

https://doi.org/10.1016/j.camwa.2011.11.035
 https://hdl.handle.net/20.500.14411/1372

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