锥似凸映射下集值优化Henig有效解的高阶最优性条件

数学季刊 ›› 2011, Vol. 26 ›› Issue (3): 415-419.

锥似凸映射下集值优化Henig有效解的高阶最优性条件

1. Section for Test Design, Chongqing Education Examinations Authority 2. College of Sciences, Chongqing Jiaotong University

收稿日期:2008-06-25 出版日期:2011-09-30 发布日期:2023-04-21
作者简介:ZHANG Jian(1973-), male, native of Chongqing, a lecturer of Chongqing Education Examinations Authority, M.S.D., engages in vector vector optimization; WANG Qi-lin(1971-), male, native of Chongqing,Ph.D., an associate professor of Chongqing Jiaotong University, engages in vector optimization.
基金资助:
Supported by the National Natural Science Foundation of China(10871216)； Supported by the Science and Technology Research Project of Chongqing Municipal Education Commission(KJ100419)； Supported by the Natural Science Foundation Project of CQ CSTC(cstcjjA00019)；

Higher-order Optimality Conditions for Henig Eﬃcient Solution in Set-valued Optimization under Cone-convexlike Maps

1. Section for Test Design, Chongqing Education Examinations Authority 2. College of Sciences, Chongqing Jiaotong University

Received:2008-06-25 Online:2011-09-30 Published:2023-04-21
About author:ZHANG Jian(1973-), male, native of Chongqing, a lecturer of Chongqing Education Examinations Authority, M.S.D., engages in vector vector optimization; WANG Qi-lin(1971-), male, native of Chongqing,Ph.D., an associate professor of Chongqing Jiaotong University, engages in vector optimization.
Supported by:
Supported by the National Natural Science Foundation of China(10871216)； Supported by the Science and Technology Research Project of Chongqing Municipal Education Commission(KJ100419)； Supported by the Natural Science Foundation Project of CQ CSTC(cstcjjA00019)；

摘要/Abstract

摘要： This paper deals with higher-order optimality conditions for Henig effcient solutions of set-valued optimization problems. By virtue of the higher-order tangent sets, necessary and suffcient conditions are obtained for Henig effcient solutions of set-valued optimization problems whose constraint condition is determined by a fixed set.

关键词: higher-order contingent(adjacent) set, Henig efficient solutions, higher-order optimality conditions, set-valued optimization

Abstract: This paper deals with higher-order optimality conditions for Henig effcient solutions of set-valued optimization problems. By virtue of the higher-order tangent sets, necessary and suffcient conditions are obtained for Henig effcient solutions of set-valued optimization problems whose constraint condition is determined by a fixed set.

Key words: higher-order contingent(adjacent) set, Henig efficient solutions, higher-order optimality conditions, set-valued optimization

中图分类号:

O224

张健, 王其林. 锥似凸映射下集值优化Henig有效解的高阶最优性条件[J]. 数学季刊, 2011, 26(3): 415-419.

ZHANG Jian, WANG Qi-lin. Higher-order Optimality Conditions for Henig Eﬃcient Solution in Set-valued Optimization under Cone-convexlike Maps [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(3): 415-419.

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