Fixed point theorems for generalized (α<sub>*</sub> - ψ)-Ciric-type contractive multivalued operators in <i>b</i>-metric spaces

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2016

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int Scientific Research Publications

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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

In this paper we introduce the notion (alpha(*) - psi)- Ciric-type contractive multivalued operator and investigate the existence and uniqueness of fixed point for such a mapping in b-metric spaces. The well-posedness of the fixed point problem and the Ulam-Hyres stability is also studied. (C) 2016 All rights reserved.

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KARAPINAR, ERDAL/0000-0002-6798-3254

Keywords

alpha(*)-psi contractive multivalued operator, fixed point, b-metric space, well-posedness, Ulam-Hyers stability

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45

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Volume

9

Issue

3

Start Page

1165

End Page

1177

URI

https://doi.org/10.22436/jnsa.009.03.43
 https://hdl.handle.net/20.500.14411/797

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