Fixed Point Theory and Applications (Jan 2011)

Strong Convergence of Modified Halpern Iterations in CAT(0) Spaces

  • Cuntavepanit A,
  • Panyanak B

Journal volume & issue
Vol. 2011, no. 1
p. 869458

Abstract

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Strong convergence theorems are established for the modified Halpern iterations of nonexpansive mappings in CAT(0) spaces. Our results extend and improve the recent ones announced by Kim and Xu (2005), Hu (2008), Song and Chen (2008), Saejung (2010), and many others.