Title of article :
New common fixed point theorems for contractive self mappings and an application to nonlinear differential equations
Author/Authors :
Touail, Youssef 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 , El Moutawakil, Driss 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
Abstract :
In this paper, we prove a new common fixed point in a general topological space with a τ−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 , Etheta -Weakly contractive maps , Metric space , Hausdorff topological space
Journal title :
International Journal of Nonlinear Analysis and Applications
