In this paper, we shall introduce and study a new class of generalized nonlinear random A-maximal m-relaxed η-accretive (so called (A, η)-accretive [26]) equations with random fuzzy and random relaxed cocoercive mappings in tf-uniformly smooth Banach spaces. By using the resolvent mapping technique for A-maximal m-relaxed η-accretive mappings due to Lan et al. and Chang's lemma [5], we construct a new iterative algorithm with mixed errors for finding the approximate solutions of this class of nonlinear random equations. We also prove the existence of random solutions and the convergence of random iterative sequences generated by the algorithm in q-uniformly smooth Banach spaces. Our results improve and generalize many known corresponding results of recent works.
