Qualitative Properties of the Solution of a System of Operator Inclusions in <i>b</I>-metric Spaces Endowed With a Graph

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2018

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Springer Singapore Pte Ltd

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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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The purpose of this paper is to present existence and uniqueness results for the solution of a system of operator inclusions. Data dependence, well-posedness, Ulam-Hyers stability, and Ostrovski stability of the coupled fixed point system are studied. The basic idea is to apply a fixed point theorem for an appropriate operator on the Cartesian product of a given b-metric space endowed with a graph.

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

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b-metric space, Data dependence, Well-posedness, Ulam-Hyers stability, Ostrovski stability property

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Volume

44

Issue

5

Start Page

1267

End Page

1281

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https://doi.org/10.1007/s41980-018-0089-7
 https://hdl.handle.net/20.500.14411/2659

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