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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2204.07500 |
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| _version_ | 1866909076176240640 |
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| author | Amara, Khaled Ben Jeribi, Aref Kaddachi, Najib |
| author_facet | Amara, Khaled Ben Jeribi, Aref Kaddachi, Najib |
| contents | In this paper, we establish some new variants of fixed point theorems for a large class of countably nonexpansive multi-valued mappings. Some fixed point theorems for the sum and the product of three multi-valued mappings defined on nonempty, closed convex set of Banach algebras are also presented. These results improve and complement a number of earlier works. As an application, we prove existence results for a broad class of nonlinear functional integral inclusions as well as nonlinear differential inclusions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_07500 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Existence results for nonexpansive multi-valued operators and nonlinear integral inclusions Amara, Khaled Ben Jeribi, Aref Kaddachi, Najib Functional Analysis 47H08, 47H09, 34K09, 47B48, 47H10 In this paper, we establish some new variants of fixed point theorems for a large class of countably nonexpansive multi-valued mappings. Some fixed point theorems for the sum and the product of three multi-valued mappings defined on nonempty, closed convex set of Banach algebras are also presented. These results improve and complement a number of earlier works. As an application, we prove existence results for a broad class of nonlinear functional integral inclusions as well as nonlinear differential inclusions. |
| title | Existence results for nonexpansive multi-valued operators and nonlinear integral inclusions |
| topic | Functional Analysis 47H08, 47H09, 34K09, 47B48, 47H10 |
| url | https://arxiv.org/abs/2204.07500 |