Approximating common fixed points in hyperbolic spaces

Hafiz Fukhar-Ud-Din, Mohamed Amine Khamsi

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


We establish strong convergence andδ-convergence theorems of an iteration scheme associated to a pair of nonexpansive mappings on a nonlinear domain. In particular we prove that such a scheme converges to a common fixed point of both mappings. Our results are a generalization of well-known similar results in the linear setting. In particular, we avoid assumptions such as smoothness of the norm, necessary in the linear case.

Original languageBritish English
Article number113
JournalFixed Point Theory and Applications
StatePublished - May 2014


  • Fixed point
  • Ishikawa iterations
  • Nonexpansive mapping
  • Strong convergence
  • Uniformly convex hyperbolic space
  • δ-convergence


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