On Interpolative Hardy-Rogers Type Contractions

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Date

2019

Authors

Karapınar, Erdal
Alqahtani, Obaid
Aydi, Hassen

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Mdpi

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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

By using an interpolative approach, we recognize the Hardy-Rogers fixed point theorem in the class of metric spaces. The obtained result is supported by some examples. We also give the partial metric case, according to our result.

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

Keywords

metric space, Hardy-Rogers type, fixed point, interpolation, partial metric space

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106

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Q2

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Q2

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Volume

11

Issue

1

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https://doi.org/10.3390/sym11010008
 https://hdl.handle.net/20.500.14411/2839

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