On Quasi-Contraction Mappings of Ciric and Fisher Type Via <i>ω</I>-distance

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2019

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Natl inquiry Services Centre Pty Ltd

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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

Kada, Suzuki, and Takahashi introduced and studies the concept of omega- distance in fixed point theory. In this paper, we generalize and unify Ciric' and Fisher fixed points results for quasi-contractions on metric space to omega-distance on complete metric spaces. We also extend some results of Kada, Suzuki and Takahashi, and Suzuki. Our methods of proofs are new and even simpler than the corresponding methods in metric spaces.

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KARAPINAR, ERDAL/0000-0002-6798-3254
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KARAPINAR, ERDAL ORCID logo

Keywords

omega-distance, fixed point, quasi-contraction

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42

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1

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1

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14

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https://doi.org/10.2989/16073606.2018.1436614
 https://hdl.handle.net/20.500.14411/2782

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