Generalized Vector Quasi-variational Inequalities

摘要

First we establish a general existence theorem for a generalized vector quasivariational inequality in a topological vector space by using a set-valued and vector generalization of Ky Fan minimax principle. As applications, several existence theorems for generalized vector quasi-variational inequalities are derived under assumptions of order-lower (order-upper) semicontinuity or monotonicity of set-valued mappings.