A Coupled Random Fixed Point Result With Application in Polish Spaces
In this paper, we present a new concept of random contraction and prove a coupled random fixed point theorem under this condition which generalizes stochastic Banach contraction principle. Finally, we apply our contraction to obtain a solution of random nonlinear integral equations and we present a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Maragheh
2018-08-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | http://scma.maragheh.ac.ir/article_28506_00489e0591464d632713e87b210c626a.pdf |
| _version_ | 1828434113821933568 |
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| author | Rashwan Ahmed Rashwan Hasanen Abuel-Magd Hammad |
| author_facet | Rashwan Ahmed Rashwan Hasanen Abuel-Magd Hammad |
| author_sort | Rashwan Ahmed Rashwan |
| collection | DOAJ |
| description | In this paper, we present a new concept of random contraction and prove a coupled random fixed point theorem under this condition which generalizes stochastic Banach contraction principle. Finally, we apply our contraction to obtain a solution of random nonlinear integral equations and we present a numerical example. |
| first_indexed | 2024-12-10T18:45:40Z |
| format | Article |
| id | doaj.art-d1b086680e364418941e3e438447529e |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-12-10T18:45:40Z |
| publishDate | 2018-08-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-d1b086680e364418941e3e438447529e2022-12-22T01:37:30ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002018-08-011119911310.22130/scma.2017.2850628506A Coupled Random Fixed Point Result With Application in Polish SpacesRashwan Ahmed Rashwan0Hasanen Abuel-Magd Hammad1Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt.Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt.In this paper, we present a new concept of random contraction and prove a coupled random fixed point theorem under this condition which generalizes stochastic Banach contraction principle. Finally, we apply our contraction to obtain a solution of random nonlinear integral equations and we present a numerical example.http://scma.maragheh.ac.ir/article_28506_00489e0591464d632713e87b210c626a.pdfCoupled random fixed point$varphi $-contractionPolish spaceRandom nonlinear integral equations |
| spellingShingle | Rashwan Ahmed Rashwan Hasanen Abuel-Magd Hammad A Coupled Random Fixed Point Result With Application in Polish Spaces Sahand Communications in Mathematical Analysis Coupled random fixed point $varphi $-contraction Polish space Random nonlinear integral equations |
| title | A Coupled Random Fixed Point Result With Application in Polish Spaces |
| title_full | A Coupled Random Fixed Point Result With Application in Polish Spaces |
| title_fullStr | A Coupled Random Fixed Point Result With Application in Polish Spaces |
| title_full_unstemmed | A Coupled Random Fixed Point Result With Application in Polish Spaces |
| title_short | A Coupled Random Fixed Point Result With Application in Polish Spaces |
| title_sort | coupled random fixed point result with application in polish spaces |
| topic | Coupled random fixed point $varphi $-contraction Polish space Random nonlinear integral equations |
| url | http://scma.maragheh.ac.ir/article_28506_00489e0591464d632713e87b210c626a.pdf |
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