Generalized Α -Meir Contraction Mappings on Branciari B-Metric Spaces

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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, alpha-Meir-Keeler and generalized alpha-Meir-Keeler contractions on Branciari b-metric spaces are introduced. Existence and uniqueness of fixed points of such contractions are discussed and related theorems are proved. Various consequences of the main results are also presented.

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ERHAN, INCI M./0000-0001-6042-3695; KARAPINAR, ERDAL/0000-0002-6798-3254; GULYAZ OZYURT, Selma/0000-0002-1876-6560
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ERHAN, INCI M. ORCID logo
KARAPINAR, ERDAL ORCID logo
GULYAZ OZYURT, Selma ORCID logo

Keywords

Branciari b-metric, Meir-Keeler contraction, Admissible mapping

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Q3

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Volume

31

Issue

17

Start Page

5445

End Page

5456

URI

https://doi.org/10.2298/FIL1717445G
 https://hdl.handle.net/20.500.14411/2911

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