Generalized form of fixed-point theorems in generalized Banach algebra relative to the weak topology with an application
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913194558095360 |
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| author | Jeribi, Aref Kaddachi, Najib Laouar, Zahra |
| author_facet | Jeribi, Aref Kaddachi, Najib Laouar, Zahra |
| contents | In this paper, a general hybrid fixed point theorem for the contractive mappings in generalized Banach spaces is proved via measure of weak non-compactness and it is further applied to fractional integral equations for proving the existence results for the solutions under mixed Lipschitz and weakly sequentially continuous conditions. Finally, an example is given to illustrate the result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_12945 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Generalized form of fixed-point theorems in generalized Banach algebra relative to the weak topology with an application Jeribi, Aref Kaddachi, Najib Laouar, Zahra Functional Analysis 46E15, 46E40, 47H10, 37C25, 47N20 In this paper, a general hybrid fixed point theorem for the contractive mappings in generalized Banach spaces is proved via measure of weak non-compactness and it is further applied to fractional integral equations for proving the existence results for the solutions under mixed Lipschitz and weakly sequentially continuous conditions. Finally, an example is given to illustrate the result. |
| title | Generalized form of fixed-point theorems in generalized Banach algebra relative to the weak topology with an application |
| topic | Functional Analysis 46E15, 46E40, 47H10, 37C25, 47N20 |
| url | https://arxiv.org/abs/2202.12945 |