Fixed point results for multivalued mapping with closed graphs in generalized Banach spaces
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866914876645965824 |
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| author | Amara, Khaled Ben Jeribi, Aref Kaddachi, Najib Laouar, Zahra |
| author_facet | Amara, Khaled Ben Jeribi, Aref Kaddachi, Najib Laouar, Zahra |
| contents | In this paper, by establishing a new characterization of the notion of upper semi-continuity of multi-valued mappings in generalized Banach spaces, we prove some Perov type fixed point theorems for multi-valued mappings with closed graphs. Moreover, we derive some Krasnoselskii's fixe point results for multi-valued mappings in generalized Banach spaces. Our results are applied to a large class of nonlinear inclusions systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_02145 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Fixed point results for multivalued mapping with closed graphs in generalized Banach spaces Amara, Khaled Ben Jeribi, Aref Kaddachi, Najib Laouar, Zahra Functional Analysis In this paper, by establishing a new characterization of the notion of upper semi-continuity of multi-valued mappings in generalized Banach spaces, we prove some Perov type fixed point theorems for multi-valued mappings with closed graphs. Moreover, we derive some Krasnoselskii's fixe point results for multi-valued mappings in generalized Banach spaces. Our results are applied to a large class of nonlinear inclusions systems. |
| title | Fixed point results for multivalued mapping with closed graphs in generalized Banach spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2207.02145 |