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 引用本文: 盛宝怀, 刘三阳. 拟不变凸集值优化的Kuhn-Tucker条件与Wolfe对偶[J]. 应用数学和力学, 2006, 27(12): 1447-1456.
SHENG Bao-huai, LIU San-yang. Kuhn-Tucker Condition and the Wolfe Duality of Preinvex Set-Valued Optimization[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1447-1456.
 Citation: SHENG Bao-huai, LIU San-yang. Kuhn-Tucker Condition and the Wolfe Duality of Preinvex Set-Valued Optimization[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1447-1456.

## 拟不变凸集值优化的Kuhn-Tucker条件与Wolfe对偶

###### 作者简介:盛宝怀(1962- ),男,陕西宝鸡人,教授,博士(联系人.Tel:+86-575-8342803;E-mail:bhsheng@zscas.edu.cn;shengbaohuai@hotmail.com).
• 中图分类号: O221.6

## Kuhn-Tucker Condition and the Wolfe Duality of Preinvex Set-Valued Optimization

• 摘要: 研究了拟不变凸集值优化最优性的Kuhn-Tucker条件及Wolfe型对偶问题．首先引进了alpha-阶G-拟不变凸集和alpha-阶S-拟不变凸集值函数的概念,由此研究了alpha-阶G-拟不变凸集所对应的伴随切锥及alpha-阶伴随导数的性质;最后,借助alpha-阶伴随切导数刻画了alpha-阶S-拟不变凸集值优化最优性的Kuhn-Tucker条件和Wolfe型对偶．
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##### 出版历程
• 收稿日期:  2004-09-17
• 修回日期:  2006-08-19
• 刊出日期:  2006-12-15

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