On Some New Fixed Point Results with Applications to Matrix Difference Equations

The aim of this article is to discuss the convergence of iterative sequences of the Prešić type involving new classes of operators satisfying Prešić type Θ-contractive condition in the context of metric spaces. Some examples are also provided to show the significance of the investigation of finding...

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Main Authors: Marwan Amin Kutbi, Jamshaid Ahmad, Muhammad Imran Shahzad
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/5526413
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author Marwan Amin Kutbi
Jamshaid Ahmad
Muhammad Imran Shahzad
author_facet Marwan Amin Kutbi
Jamshaid Ahmad
Muhammad Imran Shahzad
author_sort Marwan Amin Kutbi
collection DOAJ
description The aim of this article is to discuss the convergence of iterative sequences of the Prešić type involving new classes of operators satisfying Prešić type Θ-contractive condition in the context of metric spaces. Some examples are also provided to show the significance of the investigation of finding fixed points. Some convergence results for a class of matrix difference equations will be derived as application.
format Article
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institution Kabale University
issn 2314-4629
2314-4785
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-e3cdf6c23ea7470d89aeeffb1f72685b2025-02-03T06:46:14ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55264135526413On Some New Fixed Point Results with Applications to Matrix Difference EquationsMarwan Amin Kutbi0Jamshaid Ahmad1Muhammad Imran Shahzad2Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Institute of Southern Punjab, Multan, PakistanThe aim of this article is to discuss the convergence of iterative sequences of the Prešić type involving new classes of operators satisfying Prešić type Θ-contractive condition in the context of metric spaces. Some examples are also provided to show the significance of the investigation of finding fixed points. Some convergence results for a class of matrix difference equations will be derived as application.http://dx.doi.org/10.1155/2021/5526413
spellingShingle Marwan Amin Kutbi
Jamshaid Ahmad
Muhammad Imran Shahzad
On Some New Fixed Point Results with Applications to Matrix Difference Equations
Journal of Mathematics
title On Some New Fixed Point Results with Applications to Matrix Difference Equations
title_full On Some New Fixed Point Results with Applications to Matrix Difference Equations
title_fullStr On Some New Fixed Point Results with Applications to Matrix Difference Equations
title_full_unstemmed On Some New Fixed Point Results with Applications to Matrix Difference Equations
title_short On Some New Fixed Point Results with Applications to Matrix Difference Equations
title_sort on some new fixed point results with applications to matrix difference equations
url http://dx.doi.org/10.1155/2021/5526413
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AT jamshaidahmad onsomenewfixedpointresultswithapplicationstomatrixdifferenceequations
AT muhammadimranshahzad onsomenewfixedpointresultswithapplicationstomatrixdifferenceequations