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

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.

Bibliographic Details
Main Author: Ranjbar Sajad
Format: Article
Language:English
Published: Sciendo 2017-12-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.1515/auom-2017-0044