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This paper is dedicated to study a new class of general nonlin- ear random A-maximal m-relaxed -accretive (so called (A,)-accretive (49)) equations with random relaxed cocoercive mappings and random fuzzy mappings in q-uniformly smooth Banach spaces. By utilizing the resolvent operator technique for A-maximal m-relaxed -accretive map- pings due to Lan et al. and Chang's lemma (13), some new iterative algorithms with mixed errors for finding the approximate solutions of the aforesaid class of nonlinear random equations are constructed. The con- vergence analysis of the proposed iterative algorithms under some suitable conditions are also studied.

GENERAL NONLINEAR RANDOM SET-VALUED VARIATIONAL INCLUSION PROBLEMS WITH RANDOM FUZZY MAPPINGS IN BANACH SPACES