Random Fixed Point Theorems with Application to Random Differential Equations in Separable Suprametric Spaces endowed with a Graph

The aim of this paper is to present topological results in separable suprametric spaces. We prove random fixed point theorems for contractive maps in these complete separable suprametric spaces endowed with graphs. To illustrate the applicability of our results, we give an example involving random differential equations. Several examples are also included to illustrate the results.