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Nonlinear Alternatives of Leray-Schauder Type in Banach Algebra Involving Four Operators with Application |
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| Authors: | Aref Jeribi Rihab Moalla |
| Affiliation: | 1. Département de Mathématiques, Laboratoire de Physique, Mathématiques et Applications , Université de Sfax, Faculté des sciences de Sfax , Sfax , Tunisie Aref.Jeribi@fss.rnu.tn;3. Département de Mathématiques, Laboratoire de Physique, Mathématiques et Applications , Université de Sfax, Faculté des sciences de Sfax , Sfax , Tunisie |
| Abstract: | In this article, we prove some fixed point theorems of Leray-Schauder Type in Banach Algebra satisfying certain sequential condition (𝒫) for the sum and the product of nonlinear weakly sequentially continuous operators and we give an example of application to a functional nonlinear integral equation. |
| Keywords: | Banach algebra Fixed point theorems Integral equations Relatively weakly compact Sequentially weakly continuous |