Some Fixed Point Results for Multi-Valued Mappings in <i>b</I>-metric Spaces

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2014

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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 aim of this paper is to establish some fixed point theorems for set-valued mappings in the context of b-metric spaces. The proposed theorems expand and generalize several well-known comparable results in the literature. An example is also given to support our main result.

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Azam, Akbar/0000-0002-1841-9366; KARAPINAR, ERDAL/0000-0002-6798-3254
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Azam, Akbar ORCID logo
KARAPINAR, ERDAL ORCID logo

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Hausdorff metric, set-valued mapping, fixed point, b-metric space

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https://doi.org/10.1186/1029-242X-2014-126
 https://hdl.handle.net/20.500.14411/207

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