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KKM TECHNIQUE AND ITS APPLICATIONS 被引量:1

KKM TECHNIQUE AND ITS APPLICATIONS
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摘要 In this paper,the Knaster-Karatowski-Mazurkiewicz technique(KKM technique,in short)is presented.By using this technique a new alternative theorem and a new coincidence theorem are established.The results obtained in this paper unify and generalize the corresponding results in the recent works. <正> In this paper,the Knaster-Karatowski-Mazurkiewicz technique(KKM technique,in short)is presented.By using this technique a new alternative theorem and a new coincidence theorem are established.The results obtained in this paper unify and generalize the corresponding results in the recent works.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第1期11-20,共10页 应用数学和力学(英文版)
关键词 H-SPACE KKM mapping alternative theorem coincidence theorem H-space, KKM mapping, alternative theorem, coincidence theorem
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  • 1马意海,张福保.GENERALIZED MINIMAX INEQUALITIES AND FIXED POINT THEOREMS[J].Applied Mathematics and Mechanics(English Edition),1991,12(5):493-500. 被引量:1
  • 2Bardaro C,Ceppitelli R.Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem andminimax inequalities. Journal of Mathematical Analysis and Applications . 1988
  • 3Jiang Jiahe.Coincidence theorems and minimax theorems[J]. Acta Mathematica Sinica . 1989 (4)
  • 4Ky Fan.Some properties of convex sets related to fixed point theorems[J]. Mathematische Annalen . 1984 (4)
  • 5Felix E. Browder.The fixed point theory of multi-valued mappings in topological vector spaces[J]. Mathematische Annalen . 1968 (4)
  • 6Ky Fan.A generalization of Tychonoff’s fixed point theorem[J]. Mathematische Annalen . 1961 (3)
  • 7Bardaro C,Ceppitelli R.Fixed point theorems and vector valued minimax theorems. Journal of Mathematical Analysis and Applications . 1990
  • 8Bardaro C,Ceppitelli R.Applications of the generalized Knaster-Kuratowski-Mazurkiewicz theorem tovariational inequalities. Journal of Mathematical Analysis and Applications . 1989
  • 9Knaster B,Kuratowski K,Mazurkiewicz S.Ein beweis des fixpunktsatzes fur n-dimensionale simplexe. Fundamenta Mathematicae . 1929
  • 10Park S.Generalizations of Ky Fan’s matching theorems and their applications. Journal of Mathematical Analysis and Applications . 1989

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