Fixed point theorems on orthogonal complete metric spaces with an application

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 \tau-distances. Moreover, an application to a differential equation is given.

Fixed point theorems on orthogonal complete metric spaces with an application Keywords:

Fixed point , O-complete metric space , O-contractive map , perp-E-weakly contractive map , tau-distance , Hausdorff topological space