摘要
集值映射的导数是解决集值优化问题的一个重要工具。论文借助于集值映射的相依导数,相邻导数,约切导数等几种导数,以Lagrange乘子的形式给出集值优化问题有弱最小解的必要条件、充分条件以及充分必要条件。
The derivatives of the set - valued maps play crucial role in the In this paper, we obtain the necessary conditions, the sufficient conditions, the at the Lagrange multipliers status for weak minimizer solution to the set - valued set - valued optimization problems. necessary and sufficient conditions optimization problems by using the contingent derivative, the adjacent derivative and the circatangent derivative.
出处
《昆明大学学报》
2007年第4期6-9,共4页
Journal of Kunming University
基金
云南大学科研基金(2004Z009C)
关键词
集值映射
最优化条件
弱最小解
相依导数
相邻导数
set - valued map
optimality conditions
weak minimizer
contingent derivative
adjacent derivative
