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New fixed point theorems in Banach algebras under weak topology features and applications to nonlinear integral equations |
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| Authors: | Afif Ben Amar |
| Affiliation: | a Département de Mathématiques, Faculté des Sciences de Gafsa, Université de Gafsa, Cité Zarrouk, 2112, Gafsa, Tunisia b Département de Mathématiques, Université de Sfax, Faculté des Sciences de Sfax, Route de Soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisia |
| Abstract: | We introduce a class of Banach algebras satisfying certain sequential condition (P) and we prove fixed point theorems for the sum and the product of nonlinear weakly sequentially continuous operators. Later on, we give some examples of applications of these types of results to the existence of solutions of nonlinear integral equations in Banach algebras. |
| Keywords: | Banach algebra Fixed point theorems Sequentially weakly continuous Integral equations Differential equations |
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