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有界线性空间中Ekeland变分原理的推广 被引量：1

An Extension of Ekeland's Variational Principle to Bornological Linear Spaces
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摘要 本文利用次可加,严格递增的连续实函数对有界线性空间中的Ekeland变分原理进行了推广. In bornological linear spaces, Ekeland＇s variational principle is generalized which uses subadditive, strictly increusing continuous fuctions.
作者 贺飞
机构地区 苏州大学数学科学学院 内蒙古大学数学科学学院
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2009年第2期381-386,共6页 Acta Mathematica Sinica：Chinese Series
基金 国家自然科学基金资助项目(10871141)
关键词 有界线性空间 EKELAND变分原理 推广 bornological linear spaces Ekeland＇s variational principle generalization
分类号 O177.3 [理学—基础数学]
  • 相关文献

参考文献13

  • 1Ekeland I., On variational principle, J. Math. Anal. Appl., 1974, 47: 325-353.
  • 2Hamel A. H., Phelps lemma, Danes' drop theorem and Ekeland's principle in locally convex spaces, Proc. Amer. Math. Soc., 2003, 131(10): 3025-3038.
  • 3zheng X. Y., Drop theorem in topological vector spaces, Chinese Ann. Math., 2000, 21A: 141-148
  • 4Qiu J. H., local completeness, drop theorem and Ekeland's variational principle, J. Math. Anal. Appl., 2005, 311: 23-39.
  • 5Qiu J. H., Ekeland's variational principle in locally complete spaces, Math. Nachr., 2003, 257: 55-58.
  • 6Qiu J. H., Ekeland's variational principle in Frechet spaces and the density of extremal points, Studia Math., 2005, 168: 81-94.
  • 7Qiu J. H., The density of extremal points in Ekeland's variational principle, J. Math. Anal. Appl., 2007, 328(2): 946-957.
  • 8Qiu Ji H., σ-semi-convexity and Ekeland's variational principle, Acta Mathematica Sinica, Chinese Series,2004, 47(2): 251-258.
  • 9He F. Liu D., Luo C., Drop theorem and Phelps' lemma and Ekeland's principle in locally complete locally convex Hausdorff spaces, Acta Mathematica Sinica, Chinese Series, 2006, 49(5): 1145-1152.
  • 10He F., Liu D., Drop theorem and Phelps' lemma and Ekeland's Principle in topological linear spaces, Chinese Ann. Math., 2006, 27A: 535-542

同被引文献18

  • 1贺飞,刘德.拓扑线性空间中的Drop定理和Phelps引理以及Ekeland变分原理[J].数学年刊（A辑）,2006,27(4):535-542. 被引量：4
  • 2贺飞,刘德,罗成.局部凸空间中的Drop定理和Phelps引理以及Ekeland变分原理[J].数学学报（中文版）,2006,49(5):1145-1152. 被引量：6
  • 3钟承奎.Ekeland变分原理的推广及其应用[J].数学学报（中文版）,1997,40(2):185-190. 被引量：5
  • 4Ekeland I.On variational principle. Journal of Mathematical Analysis and Applications . 1974
  • 5Zhong C.K.A generalization of Ekeland‘s variational priciple and application to the study of the relation between the weak P.S.condition and coercivity. Nonlinear Analysis,Theory,Methods & Applications . 1997
  • 6Lin L.J,Du W.S.Some equivalent formulations of the generalized Ekeland‘s variational principle and their applications. Nonlinear Analysis . 2007
  • 7Qiu J.H.The density of extremal points in Ekeland‘s variational principle. Journal of Mathematical Analysis and Applications . 2007
  • 8Gopfert A,Riahi H,Tammer C,Zalinescu C.Variational Methods in Partially Ordered Spaces. . 2003
  • 9Wong,C-W.A drop theorem without vector topology. Journal of Mathematical Analysis and Applications . 2007
  • 10Hamel,A.H.Phelps‘ lemma,Danes‘drop theorem and Ekeland‘s principle in locally convex spaces. Proceedings of the American Mathematical Society . 2003

引证文献1

数学学报（中文版）
2009年 第2期

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