RANDOM GENERALIZED SET-VALUED COMPLEMENTARITY PROBLEMS*

Complementaity problem theory developed by Lemke [10], Cottle and Dantzig [8] and others in the early 1960s and thereafter, has numerous applications in diverse fields of mathematical and engineering sciences. And it is closely related to variational inequality theory and fixed point theory. Recently, fixed point methods for the solving of nonlinear complementarity problems were considered by Noor et al. [11 , 12]. Also complementarity problems related to variational inequality problems were investigated by Chang [1] , Cottle [7] and others.