文献类型：期刊文献

中文题名：拟不变凸集值优化的Kuhn-Tucker条件与Wolfe对偶

英文题名：Kuhn-Tucker Condition and the Wolfe Duality of Preinvex Set-Valued Optimization

作者：盛宝怀[1];刘三阳[2];张石生（推荐）[3]

机构：[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,浙江绍兴312000;[3]不详

年份：2006

卷号：27

期号：12

起止页码：1447

中文期刊名：应用数学和力学

外文期刊名：Applied Mathematics and Mechanics

收录：CSTPCD、、北大核心2004、Scopus、CSCD2011_2012、北大核心、CSCD

基金：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)

语种：中文

中文关键词：拟不变凸集值函数;伴随上图导数;最优性条件;对偶

外文关键词：preinvex set-valued fimction; contingent epiderivatives; optimality conditions; duality

中文摘要：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al-pha-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·

外文摘要：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 Spreinvex 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.