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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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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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 |
id | doaj-art-e3cdf6c23ea7470d89aeeffb1f72685b |
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 |
work_keys_str_mv | AT marwanaminkutbi onsomenewfixedpointresultswithapplicationstomatrixdifferenceequations AT jamshaidahmad onsomenewfixedpointresultswithapplicationstomatrixdifferenceequations AT muhammadimranshahzad onsomenewfixedpointresultswithapplicationstomatrixdifferenceequations |