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抽象凸空间中的广义KKM引理

Generalized KKM Lemma in Abstract Convexity Space
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摘要 给出抽象凸空间中KKM引理的另一形式,进一步建立了抽象凸空间上的广义KKM引理,该结果推广了相关文献的结果。 Another form of KKM lemrna in abstract convex spaces was given, furthermore, the generalized KKM lemma was established in the same space. The main results from the above mentioned generalized the corresponding results in previous papers as far as being concerned.
出处 《辽宁工业大学学报(自然科学版)》 2008年第4期271-273,共3页 Journal of Liaoning University of Technology(Natural Science Edition)
关键词 KKM引理 广义KKM引理 抽象凸 集值映射 KKM lemma generalized KKM lemma abstract convexity set-valued mapping
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参考文献6

  • 1[1]Ky Fan,A generalization of Tychonoff's fixed point theorem[J].Math.Ann.1961,142:305-310.
  • 2[2]C D Horvath.Some results on multivalued mappings and inequalities without convexity[J].Nonlinear and Convex Analysis,1987,107:99-106.
  • 3[3]J Yu,S W Xiang.The Stability of KKM Points[J].Nonlinear Analysis:Theory,Methods and Applications,2003,54:839-844.
  • 4[4]Shuwen Xiang,Hui Yang.Some properties of abstract convexity structures on topological spaces[J].Nonlinear Analysis,2006,67:803-808.
  • 5[5]J P Aubin,I Ekland.Applied Nonlinear Analysis[M].NewYork:Wiley,1984.
  • 6[6]J Dugundji.Topology[M].Boston:Allyn and Bacon,1966.

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