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G-凸空间中KKM定理的变形及其应用 被引量:1

The Variant Forms of KKM Type Theorems and Their Applications in the G-convex Space
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摘要 首先在G 凸空间内引入了共存和可被诱捕的定义,然后将H 空间中KKM定理的变形及其应用推广到G 凸空间,建立了新的极大极小不等式. In this paper, some notions of coexistent and trappable are introduced. By using them, KKM type theorems and their variant forms in H-spaces are generalized to G-convex spaces. A new minimax inequality is established.
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第2期168-172,共5页 Journal of Sichuan Normal University(Natural Science)
基金 四川省教育厅重点科研基金资助项目
关键词 G-凸空间 共存 可被诱捕 G-拟凸 G-拟凹 G-convex space Coexistent Trappable G-quasiconvex G-quasiconcave
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  • 1邓方平,丁协平.拓扑空间中的KKM选择与KKM定理[J].四川师范大学学报(自然科学版),2005,28(4):402-404. 被引量:14
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  • 6王彬.FC-空间中的KKM型定理与截口定理[J].重庆师范大学学报(自然科学版),2008,25(2):25-28. 被引量:3
  • 7何蓉华,丁协平.L-凸空间的乘积空间内广义R-KKM型定理及其应用[J].四川师范大学学报(自然科学版),2004,27(1):27-30. 被引量:8

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