General strongly nonlinear variational inequalities for fuzzy operators (Q2711300)

In this paper, the authors introduce and study a class of nonlinear variational inequalities for fuzzy operators. By the projection method, they establish the equivalence between the variational inequalities for fuzzy operators and the fixed point problems for fuzzy operators. They suggest some iterative algorithms for solving the variational inequalities for fuzzy operators by using the equivalence and Nadler's result. They also prove the existence of solution of the variational inequality for fuzzy operators and the convergence of sequences generated by the algorihms. Finally, they study the existence of a solution of the variational inequality for fuzzy operators by using the auxiliary principle technique.NEWLINENEWLINEFor the entire collection see [Zbl 0958.00011].