Some fixed point theorems for (α, ψ)-rational type contractive mappings

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2015

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Springer international Publishing Ag

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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 the concept of (alpha, psi)-rational type contractive mappings and provide sufficient conditions for the existence and uniqueness of a fixed point for such class of generalized nonlinear contractive mappings in the setting of generalized metric spaces. We also deduce several interesting corollaries.

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Alsulami, Hamed Hamdan/0000-0001-5188-2830; ERHAN, INCI M./0000-0001-6042-3695; Taoudi, Mohamed Aziz/0000-0002-8851-8714; CHANDOK, SUMIT/0000-0003-1928-2952

Keywords

fixed point, alpha-admissible, contraction mappings, metric space

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12

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https://doi.org/10.1186/s13663-015-0332-3
 https://hdl.handle.net/20.500.14411/823

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