Some Random Fixed-Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space
The aim of this paper is to prove a common random fixed-point and some random fixed-point theorems for random weakly contractive operators in separable Banach spaces. A random Mann iterative process is introduced to approximate the fixed point. Finally, the main result is supported by an example and...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2021/9484771 |
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| _version_ | 1832558063357263872 |
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| author | Kenza Benkirane Abderrahim EL Adraoui El Miloudi Marhrani |
| author_facet | Kenza Benkirane Abderrahim EL Adraoui El Miloudi Marhrani |
| author_sort | Kenza Benkirane |
| collection | DOAJ |
| description | The aim of this paper is to prove a common random fixed-point and some random fixed-point theorems for random weakly contractive operators in separable Banach spaces. A random Mann iterative process is introduced to approximate the fixed point. Finally, the main result is supported by an example and used to prove the existence and the uniqueness of a solution of a nonlinear stochastic integral equation system. |
| format | Article |
| id | doaj-art-c86bb935057f4de9bf1aa9291a408674 |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c86bb935057f4de9bf1aa9291a4086742025-02-03T01:33:21ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252021-01-01202110.1155/2021/9484771Some Random Fixed-Point Theorems for Weakly Contractive Random Operators in a Separable Banach SpaceKenza Benkirane0Abderrahim EL Adraoui1El Miloudi Marhrani2Faculty of Sciences Ben M’SikFaculty of Sciences Ben M’SikFaculty of Sciences Ben M’SikThe aim of this paper is to prove a common random fixed-point and some random fixed-point theorems for random weakly contractive operators in separable Banach spaces. A random Mann iterative process is introduced to approximate the fixed point. Finally, the main result is supported by an example and used to prove the existence and the uniqueness of a solution of a nonlinear stochastic integral equation system.http://dx.doi.org/10.1155/2021/9484771 |
| spellingShingle | Kenza Benkirane Abderrahim EL Adraoui El Miloudi Marhrani Some Random Fixed-Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space International Journal of Mathematics and Mathematical Sciences |
| title | Some Random Fixed-Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space |
| title_full | Some Random Fixed-Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space |
| title_fullStr | Some Random Fixed-Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space |
| title_full_unstemmed | Some Random Fixed-Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space |
| title_short | Some Random Fixed-Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space |
| title_sort | some random fixed point theorems for weakly contractive random operators in a separable banach space |
| url | http://dx.doi.org/10.1155/2021/9484771 |
| work_keys_str_mv | AT kenzabenkirane somerandomfixedpointtheoremsforweaklycontractiverandomoperatorsinaseparablebanachspace AT abderrahimeladraoui somerandomfixedpointtheoremsforweaklycontractiverandomoperatorsinaseparablebanachspace AT elmiloudimarhrani somerandomfixedpointtheoremsforweaklycontractiverandomoperatorsinaseparablebanachspace |