Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (5): 485-494.

• 论文 • 上一篇    下一篇

THE BEST APPROXIMATION AND COINCIDENCE THEOREMS FOR COMPOSITES OF ACYCLIC MAPPINGS

丁协平   

  1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, P.R.China
  • 收稿日期:1998-05-27 修回日期:1999-02-08 出版日期:1999-05-18 发布日期:1999-05-18
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (19871059)

THE BEST APPROXIMATION AND COINCIDENCE THEOREMS FOR COMPOSITES OF ACYCLIC MAPPINGS

Ding Xieping   

  1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, P.R.China
  • Received:1998-05-27 Revised:1999-02-08 Online:1999-05-18 Published:1999-05-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China (19871059)

摘要: Some new coincidence theorem s involving a new class of set-valued mappings containing composites of acyclic mappings defined in a contractible space are proved. For applications, some best approximation theorems and coincidence theorems for set-valued mappings are also given. A number of known results in recent literature are improved and generalized by the theorems in this paper.

Abstract: Some new coincidence theorem s involving a new class of set-valued mappings containing composites of acyclic mappings defined in a contractible space are proved. For applications, some best approximation theorems and coincidence theorems for set-valued mappings are also given. A number of known results in recent literature are improved and generalized by the theorems in this paper.

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