Existence and uniqueness of a common fixed point on partial metric spaces

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2011

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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

In this work, a general form of the weak phi-contraction is considered on partial metric spaces, to get a common fixed point. It is shown that self-mappings S, T on a complete partial metric space X have a common fixed point if it is a generalized weak phi-contraction. (C) 2011 Elsevier Ltd. All rights reserved.

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KARAPINAR, ERDAL/0000-0002-6798-3254; Tas, Kenan/0000-0001-8173-453X; Abdeljawad, Thabet/0000-0002-8889-3768
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KARAPINAR, ERDAL ORCID logo
Tas, Kenan ORCID logo
Abdeljawad, Thabet ORCID logo

Keywords

Partial metric space, Weak phi-contraction, Common fixed point

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24

Issue

11

Start Page

1900

End Page

1904

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https://doi.org/10.1016/j.aml.2011.05.014
 https://hdl.handle.net/20.500.14411/1316

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