## On a fixed point theorem in Banach algebras with applications.(English)Zbl 1092.47045

Dans cet article, l’auteur, en partant d’un de ses résultats très connus, présente des théorèmes noveaux de point fixe pour deux opérateurs définis sur un algèbre de Banach et leurs applications très utiles dans la démonstration de l’existence des solutions de quelques equations intégrales non-linéaires.

### MSC:

 47H10 Fixed-point theorems 47N20 Applications of operator theory to differential and integral equations

### Keywords:

Banach algebra; fixed point theorem; integral equations
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### References:

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