Generalized implicit quasivariational inclusions with fuzzy set-valued mappings

In this paper, we introduce and study a new class of generalized implicit quasivariational inclusions with fuzzy set-valued mappings. A existence theorem of solutions is proved without compactness assumptions. A new iterative algorithm is suggested and analyzed. The convergence of iterative sequence generated by the new algorithm is also given. As special cases, some known results are also discussed.