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

• 论文 •    下一篇

A GENERALIZATION OF BROWDER’S FIXED POINT THEOREM WITH APPLICATIONS

张石生1, 张宪2   

  1. 1. Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China;
    2. Department of Mathematics, Jimei Normal College, Xiamen 361021, P. R. China
  • 收稿日期:1998-10-05 修回日期:1999-05-18 出版日期:1999-09-18 发布日期:1999-09-18
  • 基金资助:

    the National Natural Science Foundation of China

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

摘要: 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.

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

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

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