On Generalized Α - Ψ-Geraghty Contractions on <i>b</I>-metric Spaces

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Date

2020

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Walter de Gruyter Gmbh

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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 generalized alpha - psi-Geraghty contractive type mappings and investigate the existence and uniqueness of a fixed point for mappings involving such contractions. In particular, we extend, improve and generalize some earlier results in the literature on this topic. An application concerning the existence of an integral equation is also considered to illustrate the novelty of the main result.

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Aydi, Hassen/0000-0003-4606-7211; KARAPINAR, ERDAL/0000-0002-6798-3254; Afshari, Hojat/0000-0003-1149-4336
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Aydi, Hassen ORCID logo
KARAPINAR, ERDAL ORCID logo
Afshari, Hojat ORCID logo

Keywords

Complete b-metric space, fixed point, generalized alpha - psi-Geraghty contraction

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Q3

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Q2

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Volume

27

Issue

1

Start Page

9

End Page

21

URI

https://doi.org/10.1515/gmj-2017-0063
 https://hdl.handle.net/20.500.14411/3110

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