WEAK CALMNESS AND WEAK STABILITY OF MULTIOBJECTIVE PROGRAMMING AND THE EXACT PENALTY FUNCTIONS
多目标规划的弱镇定性、弱稳定性及其精确罚函数

In this paper the concepts of weak calmness and weak stability of multiobjective program-ming are introduced.Some sufficient and necessary conditions for weak calmness and weakstability are provided.The local and global exactness of a kind of penalty functions under theconditions of weak calmness and weak stability is proved.In the case of convexity,the equiva-lence of weak stability,exactness of the penalty functions and the existence of weak Lagrangemultiples is proved.