摘要
研究广义锥预不变凸集值映射优化问题(SVOP)的真有效解对的最优性条件。证明了(SVOP)的局部Henig有效解对也为全局Henig有效解对。获得了(SVOP)的Henig有效解对、超有效解对要满足的充分必要条件,同时建立了(SVOP)的真有效性与向量似变分不等式的真有效性之间的密切关系。
This paper studies proper efficiency in vector optimization involving generalized cone -preinvex set -valued mappings. Some properties of the generalized cone - preinvex mapping are derived, in particular, the global result for Henig efficient solution pair is proven, the necessary and sufficient optimality conditions of Henig efficiency and super efficiency are obtained. Meanwhile, we establish the closed relationships between proper efficiency of vector optimization and proper efficiency of vector variational - like inequalities.
出处
《南昌大学学报（理科版）》
CAS
北大核心
2008年第4期330-334,338,共6页
Journal of Nanchang University(Natural Science)
基金
国家自然科学基金资助项目(10771228)
关键词
向量优化
相依上导数
Henig有效性
超有效性
向量似变分不等式
vector optimization
contingent epiderivative
Henig efficiency
super efficieney
vector variational - like inequality
