Ding Xie-ping. Intersection Theorems Concerning Noncompact Sets with H-Convex Sections and Their Applications[J]. Applied Mathematics and Mechanics, 1991, 12(1): 77-84.
Citation: Ding Xie-ping. Intersection Theorems Concerning Noncompact Sets with H-Convex Sections and Their Applications[J]. Applied Mathematics and Mechanics, 1991, 12(1): 77-84.

Intersection Theorems Concerning Noncompact Sets with H-Convex Sections and Their Applications

  • Received Date: 1990-02-15
  • Publish Date: 1991-01-15
  • In this paper, we prove some intersection theorems concerning noncompact sets with H-convex sections which generalize the corresponding results of Ma, Fan, Tarafdar, Lassonde and Shin-Tan to H-spaces without the linear structure and to noncompact setting. An application to von Neumann type minimax theorems is given.
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  • [1]
    Bardaro,C.and R.Ceppitelli,Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities,J.Math.Anal.Appl.,132(1988),484-490.
    [2]
    Ding X.P.,Continuous selection theorem,coincidence theorem and intersection theorems concerning sets with H-convex sections,(submitted)
    [3]
    Ding,X.P.,W.K.Kim and K.K.Tan,Applications of minimax inequalities on H-spaces,Bull,Austral.Math.Soc.(to appear)
    [4]
    Fan,Ky,Sur un théorème minimax,C.R.Acad.Sci.(Paris),259(1964),3925-3928.
    [5]
    Fan,Ky,Applications of a theorem concerning sets with convex sections.Math.Ann.,163(1966),189-203.
    [6]
    Fan,Ky,Some properties of convex sets related to fixed point theorems,Math.Ann.,226(1984),519-537.
    [7]
    Lassonde,M.,On the use of KKM multifunction in fixed point theory and related topics,J.Math.Anal.Appl.,97(1983),151-201.
    [8]
    Ma,T.W.,On sets with convex sections J.Math.Anal.Appl.,27(1969),413-416.
    [9]
    Shih,M.H.and K.K.Tan,Non-compact sets with convex sections,Pacific J.Math.,119(1985),473-479.
    [10]
    Shih,M.H.and K.K.Tan,Non-compact sets with convex sectionsⅡ,J.Math.Anal.Appl.,120(1986),264-270.
    [11]
    Sion,M.,On nonlinear variational inequalities,Pacific J.Math.,8(1958),171-176.
    [12]
    Tarafdar,E.,On two theorems concerning sets with convex sections,Bull.Austral.Math.Soc.,38(1988),397-400.
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