Banach空间中多目标规划的局部有效解的必要条件

NECESSARY CONDITIONS OF LOCAL EFFICIENT SOLUTION FOR MULTIOBJECTIVE PROGRAMMING IN BANACH SPACES

本文对Ｂａｎａｃｈ 空间中的多目标规划的局部有效解提出Ｆｒｉｔｚ Ｊｏｈｎ 必要条件和Ｋｕｈｎ－Ｔｕｃｋｅｒ必要条件，并且证明了多目标规划的Ｌａｇｒａｎｇｅ 正则性等价于一个标量规划问题的Ｌａｇｒａｎｇｅ 正则性．

This paper offers a Fritz John type necessary condition and a Kuhn Tucker type necessary condition for local efficient solution of multiobjective programming in Banach space.Furthermore,it is proved that Lagrange regulality of a multiobjective programming problem is equivalent to Lagrange regularity of a scalar programming problem.