Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (2): 500-507.

• Articles • Previous Articles     Next Articles

The Minimum Selections of Set-Valued Mappings and Applications

 ZHU Xing-Hua, |Xiao-Jian-Zhong   

  1. College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044
  • Received:2008-06-11 Revised:2009-11-25 Online:2011-04-25 Published:2011-04-25
  • Supported by:

    国家自然科学基金(10671094)资助

Abstract:

In this paper, the continuation properties of the minimum selections of set-valued mappings are studied by utilizing the theory of geometry in Banach space, and some continuity theorems depended on geometric properties of spaces are given. On the basis of these, the problem concerning the continuation properties of minimum right inverses for surjective linear operators is discussed.

Key words: Set-valued mappings, Minimum selection, Homogeneous right inverse, Linear right inverse

CLC Number: 

  • 47H04
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