Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica (Dec 2017)

Strong convergence of a composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces

  • Ranjbar Sajad

DOI
https://doi.org/10.1515/auom-2017-0044
Journal volume & issue
Vol. 25, no. 3
pp. 183 – 197

Abstract

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In this paper, we prove the strong convergence of the composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces and compare our results with several recent results in this subject. Also, the inexact version of the Halpern iteration is studied in CAT(0) spaces.

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