强向量F-隐补问题及相应的变分不等式  

Strong vector F-implicit complementarity problems and corresponding variational inequalities

作　　者：孙燕兰[1] 黄建华[1] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350002

出　　处：《福州大学学报（自然科学版）》2008年第4期485-488,共4页Journal of Fuzhou University(Natural Science Edition)

基　　金：福建省教育厅科研资助项目(JB05046);福州大学科技发展基金资助项目(2006-XQ-21)

摘　　要：引入强向量F-隐补问题,这个问题推广和统一了现有的许多向量变分不等式和向量补问题.以此讨论了在Banach空间中强向量F-隐补问题与相应的强向量变分不等式等价性,并在一定条件下证明其解的存在性.所得结论统一和推广了现有许多重要的结果.We introduce several classes of strong verctor F - implicit complementarity problems, which entend and unify the existing vector variational inequalities and vector complementarity problem. We also discuss the equivalence between the strong vector F - implicit complementarity problems and corresponding vector F - implicit variational inequalities in Banach spaces. Furthermore, we prove some new existence theorems of solutions under some suitable assumptions.

关 键 词：强向量 F-隐补问题 变分不等式 

分 类 号：O177.91[理学—数学]