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FC-空间中的参数型KKM定理及其应用

邓磊 臧小燕

邓磊, 臧小燕. FC-空间中的参数型KKM定理及其应用[J]. 应用数学和力学, 2009, 30(1): 75-82.
引用本文: 邓磊, 臧小燕. FC-空间中的参数型KKM定理及其应用[J]. 应用数学和力学, 2009, 30(1): 75-82.
DENG Lei, ZANG Xiao-yan. Parametric Type of KKM Theorem in FC-Spaces With Applications[J]. Applied Mathematics and Mechanics, 2009, 30(1): 75-82.
Citation: DENG Lei, ZANG Xiao-yan. Parametric Type of KKM Theorem in FC-Spaces With Applications[J]. Applied Mathematics and Mechanics, 2009, 30(1): 75-82.

FC-空间中的参数型KKM定理及其应用

基金项目: 国家自然科学基金资助项目(10771173);重庆市科委自然科学基金资助项目(CSTC,2005BB2097)
详细信息
    作者简介:

    邓磊(1957- ),男,重庆人,教授(联系人.Tel:+86-23-68388606;E-mail:dengei@swu.edu.cn).

  • 中图分类号: O177.92

Parametric Type of KKM Theorem in FC-Spaces With Applications

  • 摘要: 首先在FC-空间中证明了一个特征性质,然后通过引进线性序空间,利用集合的连通性,在非紧的FC-空间中证明了一个参数型KKM定理.应用参数型KKM定理得到非紧的极大极小不等式、鞍点定理和截口定理.这些结果改进和推广了这个领域中的一些相关结果.
  • [1] Knaster B,Kurnatoaski C,Mazurkiewicz S.Ein beweis des fixpunksatzes fur n-dimensionale simplexe[J].Fund Math,1929,14:132-137.
    [2] Fan Ky. A generalization of Tychonoff′s fixed point theorem[J]. Math Ann,1961,142(3):305-310. doi: 10.1007/BF01353421
    [3] CHANG Shih-sen,CAO Shi-yi,WU Xian.Some nonempty intersection theorems in generalized interval spaces with applications[J].J Math Anal Appl,1996,199(3):787-803. doi: 10.1006/jmaa.1996.0176
    [4] DING Xie-ping.Himmelberg type fixed point theorem in locally FC-spaces[J].J Sichuan Normal University (Natural Science),2005,28(2):127-130.
    [5] DING Xie-ping. Colletive fixed points and a system of coincidence theorems in product FC-spaces and applications[J].Nonlinear Anal,2007,66(11):2604-2617. doi: 10.1016/j.na.2006.03.043
    [6] DING Xie-ping. Maximal element theorems in product FC-spaces and generalized games[J].J Math Anal Appl,2005,305(1):29-42. doi: 10.1016/j.jmaa.2004.10.060
    [7] FANG Min,HUANG Nan-jing. KKM type theorems with applications to generalized vector equilibrium problems in FC-spaces[J].Nonlinear Anal,2007,67(3):809-817. doi: 10.1016/j.na.2006.06.040
    [8] LIN Bor-luh,QUANG Xiu-chi.A non-compact topological minimax theorem[J].J Math Anal Appl,1991,161(2):587-590. doi: 10.1016/0022-247X(91)90353-2
    [9] Stachó L L. Minimax theorems beyond topological vector spaces[J].Acta Sci Math,1980,42(1/2):157-164.
    [10] CHENG Cao-zong, LIN You-hao.On the generalization of minimax theorem for the type of fixed points[J].Acta Math Sinica,1991,34(4):502-507.
    [11] Komornik V. Minimax theorems for upper semi-continuous fuctions[J].Acta Math Acad Sci Hungar,1982,40(7):159-163. doi: 10.1007/BF01897316
    [12] TIAN Guo-qiang. Generalization of the FKKM theorem and the Ky Fan minimax inquality,with applications to maximal elements,price equilibrium,and complementarity[J].J Math Anal Appl,1992,170(2):457-471. doi: 10.1016/0022-247X(92)90030-H
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出版历程
  • 收稿日期:  2007-12-18
  • 修回日期:  2008-11-03
  • 刊出日期:  2009-01-15

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