ABSTRACT
In this chapter, we study a class of generalized strongly nonlinear implicit quasi-varia- tional inequality problems for fuzzy mappings and prove that the generalized strongly nonlinear implicit quasi-variational inequality problem for fuzzy mappings is equivalent to solving the fixed point problem. Using the quivalence, a new iterative algorithm for finding the approximate solutions of the generalizedi strongly nonlinear implicit quasi-variational inequality problem for fuzzy mappings is suggested. We also discuss the existence of solutions for this kind of generalized strongly nonlinear implicit quasi-variational inequality problem for fuzzy mappings without compactness and the convergence of iterative sequences generated by the algorithms.
