Title of article :
Fixed point theorems on orthogonal complete metric spaces with an application
Author/Authors :
Touail, Youssef Sultan Moulay Slimane de Beni-Mellal, Morocco , Moutawakil, Driss El. Sultan Moulay Slimane de Beni-Mellal, Morocco
Abstract :
In this paper, we introduce the concept of orthogonal contractive mappings and prove some fixed point theorems for such contractions. We establish our results in orthogonal bounded complete metric spaces via the notion of τ−distances. Moreover, an application to a differential equation is given.
Keywords :
Fixed point , O-complete metric space , O-contractive map , E-weakly contractive map , distance , Hausdorff topological space
Journal title :
International Journal of Nonlinear Analysis and Applications
