New common fixed point theorems for contractive self mappings and an application to nonlinear differential equations

Document Type : Research Paper

Authors

1 Equipe de Recherche en Mathématiques Appliquées,Technologies de l’Information et de la Communication Polydisciplinary Faculty of Khouribga, BP. 25000 Universite Sultan Moulay Slimane de Beni-Mellal Morocco

2 Equipe de Recherche en Mathématiques Appliquées, Technologies de l’Information et de la Communication Polydisciplinary Faculty of Khouribga, BP. 25000 Universite Sultan Moulay Slimane de Beni-Mellal Morocco

Abstract

In this paper, we prove a new common fixed point in a general topological space with a $\tau-$distance. Then we deduce two common fixed point theorems for two new classes of contractive selfmappings in complete bounded metric spaces. Moreover, an application to a system of differential equations is given.

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