On an Extension of Contractivity Conditions Via Auxiliary Functions

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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 manuscript, we study sufficient conditions on the functions that appears in very complex contractivity conditions introduced in a recent manuscript by Liu et al. in order to guarantee the existence and uniqueness of common fixed points of four self-mappings.

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

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fixed point theorem, fixed point, common fixed point, contractivity condition

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https://doi.org/10.1186/s13663-015-0354-x
 https://hdl.handle.net/20.500.14411/828

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