Acta mathematica scientia,Series B ›› 1999, Vol. 19 ›› Issue (1): 53-61.

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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

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.

CLC Number: 

  • 54H25
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