一类广义向量似变分不等式的间隙函数和解的存在性  

Gap functions and the existence of solutions to a class of generalized vector variational-like inequalities

作　　者：姜艮[1] 王岗[1] 吴传平[1] 

机构地区：[1]重庆师范大学数学学院,重庆沙坪坝401331

出　　处：《重庆文理学院学报（自然科学版）》2012年第2期9-12,共4页Journal of Chongqing University of Arts and Sciences

基　　金：国家自然科学基金资助项目(11001289);重庆市教委科技项目(KJ100608)

摘　　要：在Hausdorff拓扑向量空间中研究一类广义向量似变分不等式GVLVI,得到了它的间隙函数,并借助KKM映像证明了GVLVI解的存在性.A class of generalized vector variational - like inequalities was studied in hausdorff topological vector space, and the gap function of generalized vector variational - like inequalities was obtained, and the existence of solutions was proved by using the KKM mapping.

关 键 词：向量似变分不等式 间隙函数 KKM映像 

分 类 号：O177.92[理学—数学]