Modified <i>f</I>-contractions Via <i>α</I>-admissible Mappings and Application To Integral Equations

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2017

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Univ Nis, Fac Sci Math

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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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In this paper, we introduce the concept of a modified F-contraction via alpha-admissible mappings and propose some theorems that guarantee the existence and uniqueness of fixed point for such mappings in the frame of complete metric spaces. We also provide some illustrative examples. Moreover, we consider an application solving an integral equation.

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Aydi, Hassen/0000-0003-4606-7211; KARAPINAR, ERDAL/0000-0002-6798-3254; , Hassen/0000-0003-3896-3809
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Aydi, Hassen ORCID logo
KARAPINAR, ERDAL ORCID logo
, Hassen ORCID logo

Keywords

alpha-admissible mappings, F-contraction, fixed point, integral equation

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Q3

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31

Issue

5

Start Page

1141

End Page

1148

URI

https://doi.org/10.2298/FIL1705141A
 https://hdl.handle.net/20.500.14411/581

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