湖南文理学院学报(自然科学版)
湖南文理學院學報(自然科學版)
호남문이학원학보(자연과학판)
Journal of Hunan University of Arts and Science (Natural Science Edition)
2015年
4期
1-4,19
,共5页
复合优化%稳定全对偶%复合锥规划
複閤優化%穩定全對偶%複閤錐規劃
복합우화%은정전대우%복합추규화
composite optimization%the stable total duality%composite conical optimization
在函数不一定下半连续的情况下,利用次微分的性质,引进新的约束规划条件,刻画了复合优化问题的稳定全对偶,并把相关结论应用于复合锥规划的研究之中,推广了前人的相关结论。
在函數不一定下半連續的情況下,利用次微分的性質,引進新的約束規劃條件,刻畫瞭複閤優化問題的穩定全對偶,併把相關結論應用于複閤錐規劃的研究之中,推廣瞭前人的相關結論。
재함수불일정하반련속적정황하,이용차미분적성질,인진신적약속규화조건,각화료복합우화문제적은정전대우,병파상관결론응용우복합추규화적연구지중,추엄료전인적상관결론。
Under the assumption that the functions are not necessary continuous, the total duality and the stable total duality between the composite problem and its dual problem are established by using the properties of subdifferentials. And its applications to the composite conical optimization problem is also given. The results extend the corresponding results in the previous papers.