拟不变凸集值优化的Kuhn-Tucker条件与Wolfe对偶

盛宝怀; 刘三阳

拟不变凸集值优化的Kuhn-Tucker条件与Wolfe对偶

盛宝怀¹,
刘三阳²

1.
绍兴文理学院数学系, 浙江绍兴 312000;2.西安电子科技大学应用数学系,西安 710071

基金项目: 国家自然科学基金资助项目(10371024);浙江省自然科学基金资助项目(Y604003)

详细信息

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
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- 文章访问数: 2698
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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

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

SHENG Bao-huai¹,
LIU San-yang²

1.
Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, Zhejiang 312000, P. R. China;

摘要

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．
- 拟不变凸集值函数 /
- 伴随上图导数 /
- 最优性条件 /
- 对偶
Abstract: The optimality Kuhn-Tucker condition and the Wolfe duality for the preinvex set-valued optimization are investigated. Firstly, the concepts of alpha-order G-invex set and the alpha-order S-preinvex set-valued function were introduced, from which the properties of the corresponding contingent cone and the alpha-order contingent derivative were studied; Then, the optimality Kuhn-Tucker condition and the Wolfe duality theorem for the alpha-order S-preinvex set-valued optimization were presented with the help of the alpha-order contingent derivative.
- preinvex set-valued function /
- contingent epiderivatives /
- optimality conditions /
- duality

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参考文献(26)

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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).

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

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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).

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出版历程

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

计量

出版历程

目录

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).