Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (1): 11-20.

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KKM TECHNIQUE AND ITS APPLICATIONS

Zhang Shi-sheng1, Ma Yi-hai2   

  1. 1. Department of Mathematics. Sichuan University, Chengdu;
    2. Department of Mathematics. Xuzhou Teachers College, Xuzhou
  • Received:1991-11-06 Online:1993-01-18 Published:1993-01-18

Abstract: In this paper, the Knaster-Kitrattnvski-Maiurkiewic: technique (KKM technique, in short) is presented. By using this technique a new alternative theorem ami a new coincidence theorem are estahlished. The results obtained in this paper unify and generalize the corresponding results in the recent works[2,10,11,15,16].

Key words: H-space, KKM mapping, alternative theorem, coincidence theorem

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