%0 Journal Article %T GENERALIZED FUZZY RANDOM SET-VALUED MIXED VARIATIONAL INCLUSIONS INVOLVING RANDOM NONLINEAR (\(A_\omega,\eta_\omega\))-ACCRETIVE MAPPINGS IN BANACH SPACES %A LI, HONG GANG %J Journal of Nonlinear Sciences and Applications %D 2010 %V 3 %N 1 %@ ISSN 2008-1901 %F LI2010 %X The main purpose of this paper is to introduce and study a new class of random generalized fuzzy set-valued mixed variational inclusions involving random nonlinear (\(A_\omega,\eta_\omega\))-accretive mappings in Banach Spaces. By using the random resolvent operator associated with random nonlinear (\(A_\omega,\eta_\omega\))-accretive mappings, an existence theorem of solutions for this kind of random generalized fuzzy set-valued mixed variational inclusions is established and a new iterative algorithm with an random error is suggested and discussed. The results presented in this paper generalize, improve, and unify some recent results in this field. %9 journal article %R 10.22436/jnsa.003.01.08 %U http://dx.doi.org/10.22436/jnsa.003.01.08 %P 63-77