非光滑多目标规划的Kuhn－Tucker充分条件及必要条件

SUFFICIENCY OF KUHN-TUCKER CONDITIONS IN NONSMOOTH WULTIOBJECTIVE PROGRAMMING

对局部Ｌｉｐｓｃｈｉｔｚ函数引进了Ｈφ－广义凸、广义拟凸、广义伪凸等概念，在广义凸性的条件下，讨论了非光滑多目标规划的Ｋｕｈｎ－Ｔｕｃｋｅｒ充分条件和必要条件．

In this paper, the concepts of Hφ-generalized pseudo-convex functions,Hφ-generalized quasi-convex functions and Hφ-generalized convex functions are given, and thesufficiency and necessary of Kuhn-Tucker conditions on nonsmooth multiobjective program-mings under the H- generalized convexity conditions are discussed.