Random approximations and random fixed point theorems for non-self-maps

Source abstract

Recently, Sehgal and Singh [ 18 ] and Papageorgiou [ 16 ] considered different random versions of a very interesting theorem of Fan [ 4 ]. Instead of compact convex domain, here we consider a continuous condensing or non-expansive random map defined on a closed ball (or closed convex set with bounded range). We prove it is true for certain spaces. As applications of our theorems, some random fixed point theorems of non-self-maps are derived.