摘要
考虑一类隐式形式多值向量均衡问题的解的存在性,该类问题包含了多值均衡问题、隐式向量均衡问题、多值变分不等式问题、向量变分不等式问题以及向量互补问题作为其特殊情形.利用广义Fan-Browder不动点定理,得到了拓扑向量空间中该类问题解的存要性定理,该结果推广并统一了已有问题解的存在性结果.
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 inequali- ty problems.
出处
《应用数学》
CSCD
北大核心
2006年第4期707-714,共8页
Mathematica Applicata
基金
Supported in part by the Natural Science Foundation of Jiangsu High School (03KJB110012) ,Jiangsu Education Office (00KJD110001 ,01KJD110005)
作者简介
CHEN Xiu-hong, male, Han, Jiangsu, professor, post-doctor, research direction： multi-objective program, nonlinear program, combinatorial optimization; pattern recognition.
