数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (3): 419-426.

• 论文 • 上一篇    下一篇

KKM TYPE THEOREMS AND COINCIDENCE THEOREMS ON L-CONVEX SPACES

 丁协平   

  1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, China
  • 出版日期:2002-07-15 发布日期:2002-07-15
  • 基金资助:

    This project was supported by the NNSF of China (19871059) and the NSF of Education Department of Sichuan Province ([2000] 25)

KKM TYPE THEOREMS AND COINCIDENCE THEOREMS ON L-CONVEX SPACES

 DING Xie-Ping   

  1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, China
  • Online:2002-07-15 Published:2002-07-15
  • Supported by:

    This project was supported by the NNSF of China (19871059) and the NSF of Education Department of Sichuan Province ([2000] 25)

摘要:

Some KKM theorems and coincidence theorems involving admissible set-valued mappings and the set-valued mappings with compactly local intersection property are proved in L-convex spaces. As applications, some new fixed point theorems are obtained in L-convex spaces. These theorems improve and generalize many important known results in recent literature.

关键词: KKM type theorem, Coincidence theorem, L-convex space

Abstract:

Some KKM theorems and coincidence theorems involving admissible set-valued mappings and the set-valued mappings with compactly local intersection property are proved in L-convex spaces. As applications, some new fixed point theorems are obtained in L-convex spaces. These theorems improve and generalize many important known results in recent literature.

Key words: KKM type theorem, Coincidence theorem, L-convex space

中图分类号: 

  • 54H25