Convergence of solutions to a class of mixed nonlinear variational inclusion for fuzzy mappings

Abstract

We introduce a class of mixed nonlinear variational inclusion for fuzzy mappings in Hilbert spaces. By using the resolvent operator technique for maximal monotone mapping, we construct some new iterative algorithms for solving this class of variational inclusions. We prove the existence of solution for this kind of variational inclusions and the convergence of iterative sequences generalized by the algorithms in Hilbert spaces.