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Viscosity Iteration in CAT(κ) Spaces

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

We study the approximation of fixed points of nonexpansive mappings in CAT(κ) 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.

Original languageEnglish
Pages (from-to)1245-1264
Number of pages20
JournalNumerical Functional Analysis and Optimization
Volume34
Issue number11
DOIs
Publication statusPublished - 2 Nov 2013

Keywords

  • CAT(κ) spaces
  • Fixed points
  • Nonexpansive mappings
  • Viscosity iterates

ASJC Scopus subject areas

  • Analysis
  • Signal Processing
  • Computer Science Applications
  • Control and Optimization

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