Fixed Points of Conditionally <i>f</I>-contractions in Complete Metric-Like Spaces

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2015

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Springer international Publishing Ag

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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 introduce the notion of a conditionally F-contraction in the setting of complete metric-like spaces and we investigate the existence of fixed points of such mappings. Our results unify, extend, and improve several results in the literature.

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KARAPINAR, ERDAL/0000-0002-6798-3254; Piri, Hossein/0000-0003-4220-8697
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KARAPINAR, ERDAL ORCID logo
Piri, Hossein ORCID logo

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F-contraction, conditionally F-contraction, fixed point, metric-like spaces, partial metric space

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https://doi.org/10.1186/s13663-015-0377-3
 https://hdl.handle.net/20.500.14411/870

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40

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27

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