SYSTEMS OF RANDOM NONLINEAR VARIATIONAL INCLUSIONS WITH FUZZY MAPPINGS IN q-UNIFORMLY SMOOTH BANACH SPACES

Abstract

This work is intended to introduce the notion of random (A_t,  η_t)-accretive equations with random relaxed cocoercive mappings along with fuzzy mappings and random resolvent operators associated with randomly(A_t,  η_t)-accretive equations in Banach spaces, and to investigate a class of systems of random nonlinear variational inclusions involving fuzzy mappings in q-uniformly smooth Banach spaces. We suggest some random iterative algorithms with errors for finding the approximate random solutions of systems of random nonlinear variational inclusions with fuzzy mappings. By applying Nadler's fixed point theorem, we also prove the existence of random solutions and convergence of random sequences generated by random algorithms in q-uniformly smooth Banach spaces.