On the fixed points of iterative contractive mappings defined via implicit relation

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2021

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Taylor & Francis 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 paper, we consider an implicit relation to generalize iterative fixed point results in the literature in the context of metric spaces. We conclude that several existing results are immediate consequences of our main results.

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Fulga, Andreea/0000-0002-6689-0355; KARAPINAR, ERDAL/0000-0002-6798-3254; ERHAN, INCI M./0000-0001-6042-3695; Aksoy, Umit/0000-0002-6014-1898
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Fulga, Andreea ORCID logo
KARAPINAR, ERDAL ORCID logo
ERHAN, INCI M. ORCID logo
Aksoy, Umit ORCID logo

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Iteration, fixed point, implicit relation

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1

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70

Issue

5-6

Start Page

1009

End Page

1027

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https://doi.org/10.1080/02331934.2020.1742122
 https://hdl.handle.net/20.500.14411/3097

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