摘要
Kuhn-Tucker型条件的充分性一直是最优化理论中引人注意的一个问题.本文对非光滑函数提出了几个非凸概念,然后,讨论了非光滑非凸多目标规划中Kuhn-Tucker型条件和Fritz John型条件的充分性,在很弱的条件下,建立了一系列充分条件.
Sufficiency of the Kuhn-Tucker type conditions is always a noticeablfe problem in optimization theory. In this paper, several nonconvex concepts for nonsmooth functions are presented, and then, sufficiency of Kuhn-Tucker type and Fritz John type conditions in nonsmooth nonconvex multiobjective programming is discussed, a series of sufficient conditions are established under weak assumptions.
出处
《应用数学》
CSCD
北大核心
1991年第1期58-63,共6页
Mathematica Applicata
基金
学校基金资助课题
关键词
多目标规划
非光滑函数
充分条件
Multiobjective programming
Weak efficient solutions
Nonsmooth functions
Sufficient conditions
