Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (3): 540-546.

• Articles • Previous Articles     Next Articles

Approximate Methods and Theorems of Common Fixed-points for a Finite Family of Nonexpansive Mappings

 WEN Dao-Jun1, DENG Lei2   

  1. 1.College of Mathematics and Statistics, Chongqing Technology and Business  University, Chongqing 400067;2.School of Mathematics and Statistics, Southwest University, Chongqing |400715
  • Received:2010-09-27 Revised:2011-10-18 Online:2012-06-25 Published:2012-06-25
  • Supported by:

    国家自然科学基金(11001287)、重庆市自然科学基金(CSTC 2010BB9254)和重庆市教委科技研究项目(KJ 110701)资助

Abstract:

 In this paper, a modified Mann iteration is proposed for finding a common fixed-point of a finite family of nonexpansive mappings, in which strong convergence theorems are proved under some suitable conditions. The results presented in this paper can be considered as an extension and improvement of some previously known results.

Key words: Nonexpansive mappings, Common fixed-point, Modified Mann iteration, Banach limits

CLC Number: 

  • 47H05
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