Some deterministic and random fixed point theorems based on degree of nondensifiability and applications

Abstract In this paper, we establish several new deterministic and random fixed point theorems for applications satisfying some condition via concept of degree of nondensifiability (DND for short). The results hire extend some classical new and results in the literature. Furthermore, we apply main results, for study the existence of random solution for some classes of fractional differential equations with Cauchy condition.