学术
国际标准刊号：ISSN 1671-5489
国内统一刊号：CN 22-1340
摘 要:
通过在局部凸拓扑线性空间中引进集值映射向量优化问题的ε-超有效解，在集值映射为内部锥类凸的假设下，利用凸集分离定理建立了关于ε-超有效解的标量化定理，并利用择一定理得到ε-Lagrange乘子定理．[著者文摘]
关 键 词:
文章出处:
《吉林大学学报：理学版》-2007年45卷6期 -927-931页
Journal of Jilin University: Sci Ed
栏目信息:
分 类 号:
文献标识码:
A
文章编号:
1671-5489（2007）06-0927-05
ε-Super Efficient Solutions of Set-valued Optimization with Ic-cone-convexlikeness
WU Gong-yue, XU Yi-hong, WANG Tao （Department of Mathematics, Nanchang University, Nanchang 330031, China）
Abstract:
In locally convex linear topological spaces, the 8-super efficient solution for vector optimization with set-valued maps was introduced. Under the assumption of the ic-cone-convexlikeness of set-valued maps, by applying separation theorem for convex sets, the scalarization theorems were established. By using the alternative theorem, the ε-Lagrange multiplier theorems were derived.[著者文摘]
Key words:
ε-super efficient solution ; ic-cone-convexlikeness ; scalarization theorem ; ε-Lagrange multiplier theorem
收稿日期: 2007-01-08
基金资助:
国家自然科学基金（批准号：10461007）和江西省自然科学基金（批准号：0611081）.
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