伪单调型向量F-互补问题可行集的最小元问题  

Least Element Problems of Feasible Sets for Vector F-Complementarity Problems with Pseudomonotonicity

作　　者：方亚平[1] 黄南京[1] 

机构地区：[1]四川大学数学学院,成都610064

出　　处：《数学学报（中文版）》2005年第3期499-508,共10页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目四川省学术带头人培养基金资助项目

摘　　要：本文引入了几类向量F-互补问题并给出了向量F-互补问题与广义向量变分不等式之间的关系.通过定义向量F-互补问题的可行集,研究了伪单调型向量F-互补问题的可行集的最小问题,推广了已有的一些结果.In this paper, we introduce several classes of vector F-complementarity problems and give relations between vector F-complementarity problems and general vector variational inequality problems. By defining the feasible sets for vector F-complementarity problems, we study the least element problems of feasible sets for vector F-complementarity problems under pseudomonotonicity assumption. The present results extend and improve the corresponding results in the literature.

关 键 词：向量F-互补问题 广义向量变分不等式 伪单调性 

分 类 号：O221.2[理学—运筹学与控制论]