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拓扑空间中的重合点定理及应用(英文) 被引量:1

Coincidence Theorems in Topological Spaces and Their Applications
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摘要 利用广义R-KKM映射,在一般拓扑空间中证明了一个新的重合点定理.作为应用,证明了一个截口定理、一个最佳逼近定理和一个极大极小不等式. A new coincidence theorem for admissible set-valued mappings is proved in general noncompact topological spaces by using generalized R-KKM mappings. As applications, a section theorem, a best approximation theorem and a minimax inequality are also proved.
作者 雷鸣
出处 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第5期20-25,共6页 Journal of Southwest China Normal University(Natural Science Edition)
关键词 容许集值映象 转移紧开值 紧局部交性质 广义R-KKM映射 admissible set-valued mapping transfer compactly open-valued compactly local intersection property generalized R-KKM mapping
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参考文献5

  • 1Ding X P. Coincidence Theorems with Applications to Minimax Inequalities, Section Theorem and Best Approximation in Topological Spaces [J]. Nonlinear Studies, 2000, 7(2): 211-225.
  • 2Deng L, Xia X. Generalized R-KKM Theorems in Topological Space and Their Applications [J]. J Math Anal Appl,2003, 285: 679-690.
  • 3Lin L J, Ansari Q H. Collective Fixed Points and Maximal Elements with Applications to Abstract Economies [J]. J Math Anal Appl, 2004, 296:455-472.
  • 4Aubin J P, Ekeland I. Applied Nonlinear Analysis [M]. New York: John Wiley Sons, 1984.
  • 5Aubin J P. Mathematical Methods of Game and Economic Theory [M]. Amsterdam: North-Holland, 1982.

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