Algorithm of solutions for mixed implicit quasi-variational inequalities with fuzzy mappings

In this paper, by applying the auxiliary variational principle technique, some existence theorems of solutions for a class of mixed implicit quasi-variational inequalities with fuzzy mappings are proved in Hilbert spaces. A novel and innovative iterative algorithm to compute approximate solutions is suggested and analyzed. The convergence criteria is also given. As special cases of these results, the open problem put forward by Noor is answered positively. Our results are new and generalize a number of known results to mixed implicity quasi-variational inequalities with fuzzy mappings.