%0 Journal Article %T 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 %A RUAN GUO-ZHEN %A
阮国桢 %J 系统科学与数学 %D 1992 %I %X 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. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=740B30A5FAA003FFB1B3E2FE1CFD4E6B&yid=F53A2717BDB04D52&vid=59906B3B2830C2C5&iid=0B39A22176CE99FB&sid=856C2E13D1000DB7&eid=0B4F496D54044D86&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0