Viscosity iteration in CAT(k) spaces

Bozena Piatek

Viscosity iteration in CAT(k) spaces

Metric Geometry 2012-07-18 v1

Authors: Bozena Piatek

Abstract

We study the approximation of fixed points of nonexpansive mappings in CAT(k) spaces. We show that the iterative sequence generated by the Moudafi's viscosity type algorithm converges to one of the fixed points of the nonexpansive mapping depending on the contraction applied in the algorithm.

Keywords

fixed point theory

Cite

@article{arxiv.1207.3949,
  title  = {Viscosity iteration in CAT(k) spaces},
  author = {Bozena Piatek},
  journal= {arXiv preprint arXiv:1207.3949},
  year   = {2012}
}

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