Minty弱向量似变分不等式解的存在性  

On the Solution Existence of Minty Weak Vector Variational-like Inequality

作　　者：朱石焕[1] 

机构地区：[1]安阳师范学院数学科学学院,河南安阳455002

出　　处：《西南师范大学学报（自然科学版）》2008年第5期26-29,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助课题(69972036).

摘　　要：研究Minty弱向量似变分不等式解的存在性问题,探讨非可微非凸函数与Minty弱向量似变分不等式之间的关系以及向量优化问题弱有效解存在的条件.The solution existence of Minty weak vector variational-like inequality problem is studied. The relations between the solutions of Minty weak vector variational-like inequalities and the nonsmooth and nonconvex functions as well as the existence of weakly efficient solutions of nonsmooth vector optimization problem are given. The results show generalizations of those presented by Ansari and Lucelina.

关 键 词：Minty向量似变分不等式 不变凸 伪不变凸 不变伪单调 

分 类 号：O178[理学—数学]