Matkowski Theorems in the Context of Quasi-Metric Spaces and Consequences on <i>g</I>-metric Spaces

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2016

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Sciendo

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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 paper, we prove the characterization of a Matkowski's theorem in the setting of quasi-metric spaces. As a result, we observe that some recent fixed point results in the context of G-metric spaces are consequences of our main result.

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KARAPINAR, ERDAL/0000-0002-6798-3254; Roldán López de Hierro, Antonio Francisco/0000-0002-6956-4328;
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KARAPINAR, ERDAL ORCID logo
Roldán López de Hierro, Antonio Francisco ORCID logo

Keywords

Fixed point, Contractivity condition, Quasi-metric space, G-metric space

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Q3

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Q3

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Volume

24

Issue

1

Start Page

309

End Page

333

URI

https://doi.org/10.1515/auom-2016-0018
 https://hdl.handle.net/20.500.14411/547

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