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L-凸空间中的KKM定理及其应用 被引量:1

Generalized KKM Type Theorem in L-Convex Spaces and Its Applications
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摘要 在L 凸空间中建立了具有转移紧闭值的GLKKM映象的广义LKKM定理,作为应用,证明了L 凸空间中的极大极小不等式定理和鞍点定理。 A new KKM theorem for GLKKM mappings with transfer compactly closevalue is established in Lconvex spaces.As its applications,some minimax inequality and saddle point theorems are obtained in Lconvex spaces.
作者 刘学文
出处 《重庆师范学院学报(自然科学版)》 2003年第1期22-24,29,共4页 Journal of Chongqing Normal University(Natural Science Edition)
关键词 KKM定理 L-凸空间 GLKKM映象 转移紧闭值 广义λ-L-G对象拟凸 极大极小不等式定理 鞍点定理 L-convex space GLKKM mapping transfer compactly close-value generalized λ-L-diagonally quasi-cinvex(quasi-concave) λ-transfer compactly lower(upper) semi-continuation
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参考文献6

  • 1Tan K K.G-KKM Theorem, Minimax Inequalities and Saddle Points[].Nonlinear Analysis.1997
  • 2DING X P.Coincidece Theorems and Equilibria of Generalized Games[].Indian Journal of Pure and Applied Physics.1996
  • 3DING X P.Abstract Convexity and Generalizations of Himmelberg Type Fixed-point Theorems[].Computers and Mathematics With Applications.2002
  • 4DING X P.Generalized L-KKM Type Theorems in L-Convex Spaces with Applications[].Computers and Mathematics With Applications.2002
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  • 6DING X P.Continuous Selection Theorem, Coincidence Theorem, and Generalized Equilibrium in L-convex Spaces[].Computers and Mathematics With Applications.2002

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