Iterative Approximation of Fixed Points for Presic Type <i>f</I>-contraction Operators

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2016

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Univ Politehnica Bucharest, Sci Bull

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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

We study the convergence of the Presic type k-step iterative process for a class of operators f : X-k -> X satisfying Presic type F-contractive condition in the setting of metric spaces. As an applications of the result presented herein, we derive global attractivity results for a class of matrix difference equations. Numerical experiments are also presented to illustrate the theoretical findings.

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Abbas, Mujahid/0000-0001-5528-1207; Nazir, Talat/0000-0001-6516-3212
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Abbas, Mujahid ORCID logo
Nazir, Talat ORCID logo

Keywords

Fixed point approximation, iterative method, F-contraction, equilibrium point, matrix difference equation, global attractivity

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Q3

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Q3

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UPB Scientific Bulletin, Series A: Applied Mathematics and Physics

Volume

78

Issue

2

Start Page

147

End Page

160

URI

https://hdl.handle.net/20.500.14411/9136

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