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In this paper, we introduce and study a clas of generalized multivaluedquasivariational inclusions for fuzy mapings, and estab lish its equivalence with aclas of uzy xed-point problems by using the resolvent op erator technique. Wesugest a new iterative algorithm for the generalized multivalued quasivariationalinclusions. Further, we stablish a few existence results of solutions for the gen-eralized multivalued quasivariational inclusions involv ing Fr-relaxed Lipschitz andFr-strongly monotone mapings, and iscus the convergence c riteria for the algo-rithm.