EXISTENCE THEOREMS FOR PARETO EXTREMUM WITH RESPECT TO PREFERENCE ORDERING AND APPLICATIONS
偏好意义下的Pareto极值存在性定理及其应用

in this paper, existence theorems for Pareto extremum with respect to apreference ordering are given. As applications, the generalized Weierstrass's theorem and anew theorem of the fixed point for discontinuous set-valued operators are obtained.