Existence theorems for vector variational inequalities

Given two real Banach spaces X and Y, a closed convex subset K in X, a cone with nonempty interior C in Y and a multivalued operator from K to 2(L(X, Y)), we prove theorems concerning the existence of solutions for the corresponding vector variational inequality problem, that is the existence of some x(0) is an element of K such that for every x is an element of K we have A(x - x(0)) is not an element of - int C for some A is an element of Tx(0). These results correct previously published ones.