On (α, ψ)-<i>K</i>-Contractions in the Extended <i>b</i>-Metric Space

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2018

Authors

Karapınar, Erdal
Karapinar, Erdal
Ozturk, Ali

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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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Abstract

In this paper, we introduce a notion of (alpha, psi)-K-contraction in the setting of extended b-metric spaces and investigate the existence of a fixed point. The presented results generalize and unify a number of well-known fixed point theorem mainly in two distinct aspects; in the sense of the contraction conditions and in the frame of abstract spaces.

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KARAPINAR, ERDAL/0000-0002-6798-3254
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KARAPINAR, ERDAL ORCID logo

Keywords

Fixed point, metric space

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18

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Q3

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Volume

32

Issue

15

Start Page

5337

End Page

5345

URI

https://doi.org/10.2298/FIL1815337A
 https://hdl.handle.net/20.500.14411/2973

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