A Fixed Point Theorem and the Ulam Stability in Generalized Dq-Metric Spaces

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2018

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Academic Press inc Elsevier Science

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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

We prove a fixed point theorem for function spaces, that is a very efficient and convenient tool for the investigations of various operator inequalities connected to Ulam stability issues, in classes of functions taking values in various spaces (e.g., in ultrametric spaces, dq-metric spaces, quasi-Banach spaces, and p-Banach spaces). The theorem is a natural generalization and extension of the classical Banach Contraction Principle and some other more recent results. (C) 2018 Elsevier Inc. All rights reserved.

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

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Fixed point, Ulam stability, Dq-metric, Ultrametric, Quasinorm, p-norm

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Q2

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Q2

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Volume

467

Issue

1

Start Page

501

End Page

520

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https://doi.org/10.1016/j.jmaa.2018.07.022
 https://hdl.handle.net/20.500.14411/2645

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