Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (9): 943-951.

• Articles •     Next Articles

A GENERALIZATION OF BROWDER’S FIXED POINT THEOREM WITH APPLICATIONS

Zhang Shisheng1, Zhang Xian2   

  1. 1. Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China;
    2. Department of Mathematics, Jimei Normal College, Xiamen 361021, P. R. China
  • Received:1998-10-05 Revised:1999-05-18 Online:1999-09-18 Published:1999-09-18
  • Supported by:

    the National Natural Science Foundation of China

Abstract: The purpose of this paper is to obtain a generalization of the famous Browder’s fixed point theorem and some equivalent forms. As application, these results are utilized to study the existence problems of fixed points and nearest points.

Key words: transfer open(closed)mapping, Browder’s fixed point theorem, transfer upper (lower) semi-continuous function

2010 MSC Number: 

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