On α*-ψ-contractive multi-valued operators in b-metric spaces and applications

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Date

2015

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Natural Sciences Publishing Co.

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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 will prove some existence and uniqueness theorems for α*-ψ contractive type operators defined over bmetric spaces. In particular, we will provide results related to Ulam-Hyers stability, well-posedness and limit shadowing. The theorems presented will extend, generalize or unify several statements currently exist in the literature on those topics.We will also give examples to illustrate the applications our results. © 2015 NSP Natural Sciences Publishing Cor.

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Keywords

B-metric space, Fixed point, Ulam-hyers stability, Well-posedness, α*-ψ-contractive multivalued operator

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Citation

6

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Source

Applied Mathematics and Information Sciences

Volume

9

Issue

5

Start Page

2611

End Page

2620

URI

https://doi.org/10.12785/amis/090545
 https://hdl.handle.net/20.500.14411/3779

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