Document Type : Research Paper

Authors

• Youssef Touail ¹
• Driss El Moutawakil ²

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.

Keywords

• Common fixed point
• Shrinking maps
• $E_theta$-Weakly contractive maps
• Metric space
• Hausdorff topological space