数学物理学报(英文版) ›› 1999, Vol. 19 ›› Issue (1): 53-61.

• 论文 • 上一篇    下一篇

COINCIDENCE THEOREMS INVOLVING COMPOSITES OF ACYCLIC MAPPINGS AND APPLICATIONS

丁协平   

  1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, China
  • 收稿日期:1997-01-14 出版日期:1999-03-02 发布日期:1999-03-02
  • 基金资助:

    This project supported by the National Natural Science Foundation of China

COINCIDENCE THEOREMS INVOLVING COMPOSITES OF ACYCLIC MAPPINGS AND APPLICATIONS

 DING Xie-Beng   

  1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, China
  • Received:1997-01-14 Online:1999-03-02 Published:1999-03-02
  • Supported by:

    This project supported by the National Natural Science Foundation of China

摘要:

Some new coincidence theorems involving a new class of set-valued mappings
containing composites of acyclic mappings defined on a contractible space are proved.
As applications, some existence theorems of maximal elements and solutions of abstract
variational inequalities, and best approximation theorems are proved. These theorems
improve and generalize a number of known results in recent literature

关键词: Coincidence theorem, maximal element, variational inequality, best approx-
imation, contractible space, composites of acyclic mappings.

Abstract:

Some new coincidence theorems involving a new class of set-valued mappings
containing composites of acyclic mappings defined on a contractible space are proved.
As applications, some existence theorems of maximal elements and solutions of abstract
variational inequalities, and best approximation theorems are proved. These theorems
improve and generalize a number of known results in recent literature

Key words: Coincidence theorem, maximal element, variational inequality, best approx-
imation, contractible space, composites of acyclic mappings.

中图分类号: 

  • 54H25