F多值向量变分不等式问题及向量相补问题  

On F multi-valued vector variational inequality problems and vector complementarity problem

作　　者：孙燕兰[1] 黄建华[1] 郑苗苗[1] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350108

出　　处：《福州大学学报（自然科学版）》2008年第6期773-778,共6页Journal of Fuzhou University(Natural Science Edition)

基　　金：福州大学发展基金资助项目(2006-XQ-21);福州大学育苗基金资助项目(2007-XY-11)

摘　　要：引入F多值向量变分不等式问题(FMVVIP),推广了已有的向量变分不等式问题.通过引入弱FC-伪单调映射和半连续映射的概念,并在此条件下给出FMVVIP解的存在定理.同时,还讨论了多值向量变分不等式问题与向量相补问题的等价关系.We introduce a extends the existing vector F multi -valued vector variational inequality problem （FMVVIP） which variational inequality. The concepts of weakly FC - pseudomonotone mappings and hemicontinuous mappins are introduced. Some existence results for FMVVI are obtained with the assumptions of weakly FC - pseudomonotonicity and hemicon - tinuity. And the relations among F multi -valued vector variational inequality（FMVVI） and F multi -valued vector complementarity problem（FMVCP） are discussed.

关 键 词：F多值向量变分不等式问题 Fan-KKM定理 F多值向量相补问题 

分 类 号：O177.91[理学—数学]