Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (3): 419-426.

• Articles • Previous Articles     Next Articles

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)

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

CLC Number: 

  • 54H25
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