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Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (11): 1027-1034.

• 论文 • 上一篇    下一篇

SOME FURTHER GENERALIZATIONS OF KYFAN'S MINIMAX INEQUALITY AND ITS APPLICATIONS TO VARIATIONAL INEQUALITIES

张石生1, 杨干山2   

  1. 1. Department of Mathematics, Sichuan University, Chengdu;
    2. Department of Mathematics, Yunnan National Institute, Kunming
  • 收稿日期:1989-11-10 出版日期:1990-11-18 发布日期:1990-11-18
  • 基金资助:
    The project supported by National Natur. Sci. Found. of China

SOME FURTHER GENERALIZATIONS OF KYFAN'S MINIMAX INEQUALITY AND ITS APPLICATIONS TO VARIATIONAL INEQUALITIES

Zhang Shi-Sheng1, Yang Gan-Shan 2   

  1. 1. Department of Mathematics, Sichuan University, Chengdu;
    2. Department of Mathematics, Yunnan National Institute, Kunming
  • Received:1989-11-10 Online:1990-11-18 Published:1990-11-18
  • Supported by:
    The project supported by National Natur. Sci. Found. of China

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摘要： The purpose of this paper is to introduce the concept of generalized KKM mapping and to obtain some general version of the famous KKM theorem and Ky Fan’s minimax inequality.As applications, we utilize the results presented in this paper to study the saddle .point problem and the existence problem of solutions for a class of quasi-variational inequalities.The results obtained in this paper extend and improve some recent results of [1-6]

关键词: generalized KKM mapping, upper-semicontinuous, γ, -diagonally quasi-convex, saddle point

Abstract: The purpose of this paper is to introduce the concept of generalized KKM mapping and to obtain some general version of the famous KKM theorem and Ky Fan’s minimax inequality.As applications, we utilize the results presented in this paper to study the saddle .point problem and the existence problem of solutions for a class of quasi-variational inequalities.The results obtained in this paper extend and improve some recent results of [1-6]

Key words: generalized KKM mapping, upper-semicontinuous, γ, -diagonally quasi-convex, saddle point

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