APPROXIMATE ALGORITHM OF SOLUTIONS FOR GENERAL NONLINEAR FUZZY MULITVALUED QUASI-VARAIATIONAL INCLUSIONS WITH (G,η)-MONOTONE MAPPINGS

Abstract

In this paper, a new class of general nonlinear fuzzy mulitvalued quasi-variational inclusions involving (G, η)-monotone mappings in Hilbert spaces is introduced and studied. By using the resolvent operator associated with (G,η)-monotone mappings, an existence theorem of solutions for this kind of fuzzy mulitvalued quasi-variational inclusions is estab- lished and a new iterative algorithm is suggested and discussed. The results presented in this paper generalize, improve, and unify some recent results in this field.