Generalized nonlinear implicit quasi-variational inclusions with fuzzy mappings

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