An Ulam stability result on quasi-<i>b</i>-metric-like spaces

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Date

2016

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Sciendo

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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 a class of general type alpha-admissible contraction mappings on quasi-b-metric-like spaces are defined. Existence and uniqueness of fixed points for this class of mappings is discussed and the results are applied to Ulam stability problems. Various consequences of the main results are obtained and illustrative examples are presented.

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Alsulami, Hamed Hamdan/0000-0001-5188-2830; ERHAN, INCI M./0000-0001-6042-3695; KARAPINAR, ERDAL/0000-0002-6798-3254; GULYAZ OZYURT, Selma/0000-0002-1876-6560

Keywords

Fixed point, Quasi-b-metric like, alpha-admissible contraction mappings, Ulam-Hyers stability

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Citation

61

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Volume

14

Issue

Start Page

1087

End Page

1103

URI

https://doi.org/10.1515/math-2016-0097
 https://hdl.handle.net/20.500.14411/658

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