留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

乘积G-凸空间内的GB-优化映象的极大元及其应用(Ⅱ)

丁协平

丁协平. 乘积G-凸空间内的GB-优化映象的极大元及其应用(Ⅱ)[J]. 应用数学和力学, 2003, 24(9): 899-905.
引用本文: 丁协平. 乘积G-凸空间内的GB-优化映象的极大元及其应用(Ⅱ)[J]. 应用数学和力学, 2003, 24(9): 899-905.
DING Xie-ping. Maximal Elements for GB-Majorized Mappings in Product G-Convex Spaces and Applications(Ⅱ)[J]. Applied Mathematics and Mechanics, 2003, 24(9): 899-905.
Citation: DING Xie-ping. Maximal Elements for GB-Majorized Mappings in Product G-Convex Spaces and Applications(Ⅱ)[J]. Applied Mathematics and Mechanics, 2003, 24(9): 899-905.

乘积G-凸空间内的GB-优化映象的极大元及其应用(Ⅱ)

基金项目: 国家自然科学基金资助项目(19871059);四川省教育厅重点科研资助项目([2000]25)
详细信息
    作者简介:

    丁协平(1938- ),男,四川自贡人,教授(E-mail:dingxip@sicnu.edu.cn).

  • 中图分类号: O177.92

Maximal Elements for GB-Majorized Mappings in Product G-Convex Spaces and Applications(Ⅱ)

  • 摘要: 通过应用G-凸空间的乘积空间内一族GB-优化映象的极大元的存在定理,在G-凸空间的非紧设置下证明了某些重合点定理,Fan-Browder型不动点定理和极小极大不等式组的解的存在性定理。这些定理改进和推广了文献中许多重要的已知结果。
  • [1] 丁协平.乘积G-凸空间内的GB-优化映象的极大元及其应用(Ⅰ)[J].应用数学和力学,2003,24(6):583-594.
    [2] Deguire P,Tan K K,Yuan X Z.The study of maximal elements, fixed points for LS-majorized mappings and their applications to minimax and variational inequalities in product topological spaces[J].Nonlinear Anal,1999,37(8):933-951.
    [3] Deguire P,Lassonde M.Familles sélectantes[J].Topol Methods Nonlinear Anal,1995,5:261-269.
    [4] Deguire P.Brewder-Fan fixed point theorem and relatd results[J].Discuss Math Differential Incl,1995,15:149-162.
    [5] Ben-El-Mechaiekh H,Deguire P,Granas A.Points fixeset coincidences pour lesapplications multivoques(applications de Ky Fan)[J].C R Acad Sci Paris,1982,295:337-340.
    [6] Ben-El-Mechaiekh H,Deguire P,Granas A.Points fixeset coincidences pour lesapplications multivoques(applications de Øand Ø*)[J].C R Acad Sci Paris,1982,295:381-384.
    [7] Lassonde M.On the use of KKM multifunctions in fixedpoint theory and related topics[J].J Math Anal Appl,1983,97:151-201.
    [8] Lassdone M.Fixed point for Kakutani factorizable multifunctions[J].J Math Anal Appl,1990,152:46-60.
    [9] Tarafdar E.A fixed points theorem and equilibrium point of abstract economy[J].J Math Econom,1991,20(2):211-218.
    [10] Tarafdar E.Fixed point theorems in H-spaces and equilibrium points of abstract economics[J].J Austral Math Soc,Ser A,1992,53:252-260.
    [11] DING Xie-ping.Tarafdar E.Some coincidence theorems and applications[J].Bull Austral Math Soc,1994,50:73-80.
    [12] DING Xie-ping,Tarafdar E.Fixed point theorem and existence of equilibrium points of noncompact abstract economies[J].Nonlinear World,1994,1:319-340.
    [13] DING Xie-ping.New H-KKM theorems and their applications to gemectric property,coincidence theorems,minimax inequality and maximal elements[J].Indian J Pure Appl Math,1995,26(1):1-19.
    [14] DING Xie-ping.Fixed points,minimax inequalities and equilibria of noncompact abstract economies[J].Taiwanese J Math,1998,2(1):25-55.
    [15] Fan Ky.A minimax inequality and applications[A].In:Shisha O Ed.Inequality Ⅲ[C].New York:Academic Press,1972.
    [16] Fan Ky.Some properties of convex sets related to fixed point theorems[J].Math Ann,1984,266:519-537.
  • 加载中
计量
  • 文章访问数:  2298
  • HTML全文浏览量:  133
  • PDF下载量:  799
  • 被引次数: 0
出版历程
  • 收稿日期:  2002-03-19
  • 修回日期:  2003-02-19
  • 刊出日期:  2003-09-15

目录

    /

    返回文章
    返回