集值映射互补问题解的存在性及其构造性证明

将紧凸集上的集值映射变分不等式解的存在定理推广到非空闭凸集上，利用它建立了广义集值映射互补问题解的存在定理，并用单纯逼近给出了集值映射互补问题解的存在定理的一种构造性证明。

Existence and Structural Proof of Complementarity Problem for Set-Valued Mappings

The authors extend the definitions of the nonlincar complementarity problem to the set-valued mapping, and establish the existence of the solution for this problem. Using the variational inequality that is given for set- valued mapping, the authors non-structurally prove the main existence theorem. Using the simplicial approximation, the authors have structurally proved it.