A Nadler-Type Fixed Point Theorem in Dislocated Spaces and Applications

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2018

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Univ Miskolc inst Math

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Mathematics
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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 a Hausdorff dislocated metric. We initiate the study of fixed point theory for multi-valued mappings on dislocated metric space using the Hausdorff dislocated metric and we prove a generalization of the well known Nadler's fixed point theorem. Moreover, we provide some examples and we give an application of our main result.

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Aydi, Hassen/0000-0003-4606-7211; KARAPINAR, ERDAL/0000-0002-6798-3254; , Hassen/0000-0003-3896-3809
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Aydi, Hassen ORCID logo
KARAPINAR, ERDAL ORCID logo
, Hassen ORCID logo

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Hausdorff dislocated metric, multi-valued mapping, Nadler's fixed point theorem

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19

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1

Start Page

111

End Page

124

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https://doi.org/10.18514/MMN.2018.1652
 https://hdl.handle.net/20.500.14411/2978

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