On completely generalized random variational inclusions with random fuzzy mapping

Abstract

In this paper, we consider the completely generalized random variational inclusions for random fuzzy mappings and define an Ishikawa type algorithm. We prove existence of solutions of our inclusions involving random relaxed Lipschitz and random relaxed monotone mappings and study the convergence of the iterative sequences generated by the proposed algorithm. The result presented in this paper improve and generalize some known corresponding results in the literature.