郑州大学学报（理学版）2012，Vol.44Issue(2)：13-19,7.DOI:10.3969/j.issn/1671-6841.2012.02.004
非光滑广义Dini-凸多目标规划解的充分性与对偶性
On Sufficiency and Duality of Solutions for Nonsmooth Generalized Dini-convex Multiobject Programming
摘要
Abstract
The generalized upper right directional Dini-derivative and Dini-gradient were given by using Ben-Tal' s generalized algebraic operations. Several classes of nonsmooth nonconvex functions ( generalized Dini-convex) were introduced. Based on weaker assumptions, a sufficient and necessary condition for generalized Dini-invex functions was given, some optimal sufficient conditions and duality were obtained for a class of nonsmooth generalized Dini-convex multiobject programming.关键词
非光滑/Dini-凸函数/多目标规划/充分性/对偶性Key words
nonsmooth/ Dini-convex function/ multiobject programming/ sufficiency/ duality分类
数理科学引用本文复制引用
康瑞瑞,张庆祥,姜艳,张文静..非光滑广义Dini-凸多目标规划解的充分性与对偶性[J].郑州大学学报（理学版）,2012,44(2):13-19,7.基金项目
国家自然科学基金资助项目,编号61071144 （）
陕西省教育厅专项科研基金资助项目,编号06JK152. （）
