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

Ranjbar, Sajad

doi:10.1515/auom-2017-0044

Abstract

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

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