Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (5): 906-911.

• Articles • Previous Articles     Next Articles

The Fixed Point Theorem of Nonexpansive Mapping

 YIN Ting-Ting, HU Chang-Song*, WU Zhi-Yu   

  1. Department of Mathematics, Hubei Normal University, Hubei Huangshi, 435002
  • Received:2012-04-19 Revised:2013-05-11 Online:2013-10-25 Published:2013-10-25
  • Contact: HU Chang-Song,huchang1004@yahoo.com.cn E-mail:huchang1004@yahoo.com.cn

Abstract:

In this paper, we introduce a new method to show the existence of fixed point for nonexpansive mappings defined on closed, convex not necessarily bounded subsets of Banach spaces, we use Hausdorff measure of noncompactness throughout this paper.

Key words: Nonexpansive mapping, Hausdorff measure of noncompactness, Approximate fixed point, Banach space

CLC Number: 

  • 47H09
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