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Generalized S-KKM Theorems and Minimax Inequalities in FC-Spaces

Generalized S-KKM Theorems and Minimax Inequalities in FC-Spaces
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摘要 The concept of FC-closed subset in FC-space without any linear structure was introduced. Then, the generalized KKM theorem is proved for FC-closed value mappings under some conditions. The FC-space in the theorem is the generalization of L-convex space and the condition of the mapping with finitely FC-closed value is weaker than that with finitely L-closed value. The concept of FC-closed subset in FC-space without any linear structure was introduced. Then, the generalized KKM theorem is proved for FC-closed value mappings under some conditions. The FC-space in the theorem is the generalization of L-convex space and the condition of the mapping with finitely FC-closed value is weaker than that with finitely L-closed value.
出处 《Journal of Southwest Jiaotong University(English Edition)》 2008年第3期303-307,共5页 西南交通大学学报(英文版)
关键词 Generalized S-KKM type theorem Finitely continuous topological space FC-closed value Minimax inequalities Generalized S-KKM type theorem Finitely continuous topological space FC-closed value Minimax inequalities
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参考文献14

  • 1程曹宗.A minimax inequality and variational inequalities[J].Progress in Natural Science:Materials International,1997,7(1):94-101. 被引量:1
  • 2Ky Fan.Some properties of convex sets related to fixed point theorems[J].Mathematische Annalen.1984(4)
  • 3Felix E. Browder.The fixed point theory of multi-valued mappings in topological vector spaces[J].Mathematische Annalen.1968(4)
  • 4Ky Fan.A generalization of Tychonoff’s fixed point theorem[J].Mathematische Annalen.1961(3)
  • 5Horvath C D.Contractibility and general convexity[].Journal of Mathematical.1991
  • 6Ding X P.Maximal element theorems in product FC- spaces and generalized games[].Journal of Mathemat- ical Analysis and Applications.2005
  • 7Ben-E1-Mechamkh H,,Chebbi S,,Florenzano M, et al.Abstract convexity and fixed points [ J][].Journal of Mathematical.1998
  • 8Horvath C.Some results on multivalued mappings and inequalities without convexity[].Nonlinear and Convex Analysis: Lectuer Notes in Pure and Applied Mathematics.1985
  • 9Brezis H,,Nirenberg L,Stampacchia G.A remark on Ky Fan s minimax principle[ J][].Boll Uni Mat Ital.1972
  • 10Knaster B,Kuratowski C,Mazurkiewicz S.Ein beweis des fixpunktsatzes fur n-dimensionalesimplexe[].Fundamenta Mathematicae.1929

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