应用数学2006，Vol.19Issue(4)：707-714,8.
隐式形式多值向量均衡问题解的存在性
Existence of Solutions of Implict Multi-valued Vector Equilibrium Problems
摘要
Abstract
In this paper,we consider a class of implicit multi-valued vector equilibrium problems,which includes a number of multi-valued equilibrium,implicit vector equilibrium,multi-valued variational inequalities,vector variational inequalities and vector complementarity problems as special cases.By using the generalized form of Fan-Browder fixed point theorem,we establish and prove the existence of their solution of this kind of implicit multi-valued vector equilibrium problems in topological vector spaces.Our results extend and unify some corresponding results of implicit vector equilibrium problems,multi-valued vector variational inequality problems and vector variational inequality problems.关键词
隐式多值向量均衡问题/Q-函数/上半连续性/Cx-h-伪单调性/V-h-半连续性/存在性定理Key words
Implicit multi-valued vector equilibrium problems/Q-function/Upper semicontinuity/Cx-h-pseudomonotonicity/V-h-hemicontinuity/Existence theorem分类
数理科学引用本文复制引用
陈秀宏..隐式形式多值向量均衡问题解的存在性[J].应用数学,2006,19(4):707-714,8.基金项目
Supported in part by the Natural Science Foundation of Jiangsu High School (03KJB110012),Jiangsu Education Office (00KJD110001,01KJD110005) （03KJB110012）
