Random Fixed Point Theorems and Applications to Random First-Order Vector-Valued Differential Equations
In this paper, we establish several random fixed point theorems for random operators satisfying some iterative condition w.r.t. a measure of noncompactness. We also discuss the case of monotone random operators in ordered Banach spaces. Our results extend several earlier works, including Itoh’s rand...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6648938 |
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| _version_ | 1832546830203748352 |
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| author | Adil El-Ghabi Abdelmjid Khchine Mohamed Aziz Taoudi |
| author_facet | Adil El-Ghabi Abdelmjid Khchine Mohamed Aziz Taoudi |
| author_sort | Adil El-Ghabi |
| collection | DOAJ |
| description | In this paper, we establish several random fixed point theorems for random operators satisfying some iterative condition w.r.t. a measure of noncompactness. We also discuss the case of monotone random operators in ordered Banach spaces. Our results extend several earlier works, including Itoh’s random fixed point theorem. As an application, we discuss the existence of random solutions to a class of random first-order vector-valued ordinary differential equations with lack of compactness. |
| format | Article |
| id | doaj-art-b03e61cb6d014eb992579c90b2d7ef98 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b03e61cb6d014eb992579c90b2d7ef982025-02-03T06:47:03ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66489386648938Random Fixed Point Theorems and Applications to Random First-Order Vector-Valued Differential EquationsAdil El-Ghabi0Abdelmjid Khchine1Mohamed Aziz Taoudi2Cadi Ayyad University, National School of Applied Science, Marrakech, MoroccoCadi Ayyad University, National School of Applied Science, Marrakech, MoroccoCadi Ayyad University, National School of Applied Science, Marrakech, MoroccoIn this paper, we establish several random fixed point theorems for random operators satisfying some iterative condition w.r.t. a measure of noncompactness. We also discuss the case of monotone random operators in ordered Banach spaces. Our results extend several earlier works, including Itoh’s random fixed point theorem. As an application, we discuss the existence of random solutions to a class of random first-order vector-valued ordinary differential equations with lack of compactness.http://dx.doi.org/10.1155/2021/6648938 |
| spellingShingle | Adil El-Ghabi Abdelmjid Khchine Mohamed Aziz Taoudi Random Fixed Point Theorems and Applications to Random First-Order Vector-Valued Differential Equations Journal of Function Spaces |
| title | Random Fixed Point Theorems and Applications to Random First-Order Vector-Valued Differential Equations |
| title_full | Random Fixed Point Theorems and Applications to Random First-Order Vector-Valued Differential Equations |
| title_fullStr | Random Fixed Point Theorems and Applications to Random First-Order Vector-Valued Differential Equations |
| title_full_unstemmed | Random Fixed Point Theorems and Applications to Random First-Order Vector-Valued Differential Equations |
| title_short | Random Fixed Point Theorems and Applications to Random First-Order Vector-Valued Differential Equations |
| title_sort | random fixed point theorems and applications to random first order vector valued differential equations |
| url | http://dx.doi.org/10.1155/2021/6648938 |
| work_keys_str_mv | AT adilelghabi randomfixedpointtheoremsandapplicationstorandomfirstordervectorvalueddifferentialequations AT abdelmjidkhchine randomfixedpointtheoremsandapplicationstorandomfirstordervectorvalueddifferentialequations AT mohamedaziztaoudi randomfixedpointtheoremsandapplicationstorandomfirstordervectorvalueddifferentialequations |