一类近似拟可微函数的多目标规划解

SOLUTIONS PROBLEMS FOR MULTIOBJECTVE OF A CIASS OF APPROXIMATE QUASIDIFFERENTIAL

本文利用半无限Gordan型选择定理,对近似拟可微的带不等式约束的函数给出了多目标规划解的必要条件。同时在一类新的广义凸性条件下给出了解的充分条件.此项研究改进了[1-2]中的结果。

with the help of a semi-infinite Gnrdan type alternative theorem, this paper offers the necessary optimality conditions for solutions of multiobjective programming with inequality constrain. It also offers sufficient conditions for solutions with the usual convexity assumption replaced by generalized invex conditon. This research improves the results in [ 1-2 ].