内部锥类凸集值优化问题的严有效性

数学季刊 ›› 2011, Vol. 26 ›› Issue (4): 505-510.

内部锥类凸集值优化问题的严有效性

Institute of Mathematics and Computer of Science, Yichun University

收稿日期:2008-04-07 出版日期:2011-12-30 发布日期:2023-04-13
作者简介:YU Li(1980-), female, native of Fengcheng, Jiangxi, a lecturer of Yichun University, M.S.D., engages in set-valued optimization theory
基金资助:
Supported by the National Natural Science Foundation of China(10461007)； Supported by the Natural Science Foundation of Jiangxi Province(0611081)；

Strict Efficiency in Vector Optimization with Ic-cone-convexlike Set-valued Functions

Institute of Mathematics and Computer of Science, Yichun University

Received:2008-04-07 Online:2011-12-30 Published:2023-04-13
About author:YU Li(1980-), female, native of Fengcheng, Jiangxi, a lecturer of Yichun University, M.S.D., engages in set-valued optimization theory
Supported by:
Supported by the National Natural Science Foundation of China(10461007)； Supported by the Natural Science Foundation of Jiangxi Province(0611081)；

摘要/Abstract

摘要： An important property of ic-cone-convexlike set-valued functions is obtained in this paper. Under the assumption of ic-cone-convexlikeness, the scalarization theorem and the Lagrange multiplier theorem for strict efficient solution are derived, respectively.

关键词: ic-cone-convexlikeness, strict efficiency, scalarization, Lagrangian multiplier theorem

Abstract: An important property of ic-cone-convexlike set-valued functions is obtained in this paper. Under the assumption of ic-cone-convexlikeness, the scalarization theorem and the Lagrange multiplier theorem for strict efficient solution are derived, respectively.

Key words: ic-cone-convexlikeness, strict efficiency, scalarization, Lagrangian multiplier theorem

中图分类号:

O174.13

余丽. 内部锥类凸集值优化问题的严有效性[J]. 数学季刊, 2011, 26(4): 505-510.

YU Li. Strict Efficiency in Vector Optimization with Ic-cone-convexlike Set-valued Functions[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(4): 505-510.