journal6 ›› 2011, Vol. 32 ›› Issue (2): 9-12.

• Mathematics • Previous Articles     Next Articles

Halpern’s Algorithm  for Nonexpansive Mappings in CAT(κ)  Spaces


  1. (College of Mathematics and Computer Science,Jishou University,Jishou 416000,Hunan China)
  • Online:2011-03-25 Published:2012-04-09

Abstract: It is proved that the  sequence defined by Halpern’s algorithm converges strongly  to a fixed point  in complete CAT(κ) spaces.

Key words: CAT(&kappa, ) spaces, nonexpansive mapping, Halpern&rsquo, s algorithm

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