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拓扑线性空间中的Drop定理和Phelps引理以及Ekeland变分原理 被引量:4

Drop Theorem and Phelps' Lemma and Ekeland' Principle in Topological Linear Spaces
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摘要 将Phelps引理, Ekeland变分原理, Pareto有效性定理推广到拓扑线性空间,同时证明了这三个定理与郑喜印证明的拓扑线性空间中的Drop定理彼此等价. In this paper, Phelps' lemma, Ekeland's Principle and Pareto efficiency theorem are generalized to topological linear spaces. Moreover, these theorems are equivalent with Drop theorem proved by Zheng Xiyin in topological linear spaces.
作者 贺飞 刘德
出处 《数学年刊(A辑)》 CSCD 北大核心 2006年第4期535-542,共8页 Chinese Annals of Mathematics
关键词 拓扑线性空间 DROP定理 Phelps引理 EKELAND变分原理 Pareto有效性定理 Topological linear spaces, Drop theorem, Phelps' lemma, Ekeland's Principle, Pareto efficiency theorem
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  • 1Danes J., A geometric throrem useful in nonlinear fuctional analysis [J], Boll. Un. Mat.Ital., 1972, 13:369-372. 被引量:1
  • 2郑喜印.拓扑线性空间中的Drop定理[J].数学年刊(A辑),2000,1(2):141-148. 被引量:7
  • 3Penot J. P., The drop theorems, the Petal theorem and Ekeland's variational principle[J], Non. Anal., 1986, 10:813-822. 被引量:1
  • 4Georgiev P. G., The strong Ekeland variational principle, the strong drop theorem and applications [J], J. Math. Anal. Appl., 1988, 131:1-21. 被引量:1
  • 5Cheng L. X., Zhou Y. C. and Zhang F., Danes' drop theorem in locally convex spaces[J], Proc. Amer. Math. Soc., 1996, 124:3699-3702. 被引量:1
  • 6Qiu J. H., Local Completeness and drop theorem [J], J. Math. Anal. Appl., 2002,266:288-297. 被引量:1
  • 7Ekeland L., Noneonvex minimization problems [J], Bull. Amer. Mat. Soc., 1979,1(3):443-474. 被引量:1
  • 8Phelps R. R., Support cones in Banach spaces and their applications [J], Adv. Math.,1974, 13:1-19. 被引量:1
  • 9Isac G., Ekeland's principal and nuclear cones: A geometrical aspect [J], Mathematical and Computer Modelling, 1997, 26(11):111-116. 被引量:1
  • 10Hamel A. H., Phelps' lemma, Danes' drop theorem and Ekeland's principle in locally convex spaces [J], Proc. Amer. Math. Soc., 2003, 131(10):3025-3038. 被引量:1

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