On (α-Φ) Contractions on Partial Hausdorff Metric Spaces

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2018

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Politechnica University of Bucharest

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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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In this note we introduce the concept of a (α - φ)-Meir-Keeler contraction for multi-valued mappings and we investigate the existence of fixed points of such mappings in a complete partial metric space. Our results generalize, extend and unify several recent fixed point results. © 2018 Politechnica University of Bucharest. All rights reserved.

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Fixed point, Partial Hausdorff metric space, Strictly α-admissible, φk-Meir-Keeler contraction

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UPB Scientific Bulletin, Series A: Applied Mathematics and Physics

Volume

80

Issue

1

Start Page

101

End Page

110

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https://hdl.handle.net/20.500.14411/9500

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