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

نویسندگان

1 Equipe de Recherche en Mathematiques Appliquees, Technologies de l’Information et de la Communication Faculte Polydisciplinare de Khouribga, Universite Sultan Moulay Slimane de Beni-Mellal, Morocco

2 Equipe de Recherche en Mathematiques Appliquees, Technologies de l’Information et de la Communication Faculte Polydisciplinare de Khouribga, Universite Sultan Moulay Slimane de Beni-Mellal, Morocco

doi
10.22075/ijnaa.2021.21318.2245
چکیده

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.