Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (2): 133-142.

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TOPOLOGICAL VERSION OF SECTION THEOREMS WITH APPLICATIONS

Zhang Shi-sheng, Wu Xian   

  1. 1. Sichuan University, Chengdu;
    2. Zhaotong Teacher’s College, Zhaoiong, Yun’nan
  • Received:1994-04-04 Online:1995-02-18 Published:1995-02-18
  • Supported by:

    Project supported by the National Natural Science Foundation of China

Abstract: In this paper some new types of KKM theorem and section theorems are given.As applications, the existence problems of solutions for three kinds of variationalinequalities and fixed point problem for set-valued mapping have been siudied by usingthose results. The results presented in this paper improve and extend the main resultsin [1-19].

Key words: artery, pulse wave, blood, viscoelasticity, section theorem, KKM theorem, variational inequality

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