<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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...

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

Publié en ligne: 31 mars 2018

Pages: 183 - 197

Reçu: 01 mars 2017

Accepté: 31 mars 2017

DOI: https://doi.org/10.1515/auom-2017-0044

Mots clés
Fixed point, Strong convergence, Composite Halpern-type iteration, Non- expansive mapping, CAT(0) space

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Publié en ligne: 31 mars 2018

Pages: 183 - 197

Reçu: 01 mars 2017

Accepté: 31 mars 2017

DOI: https://doi.org/10.1515/auom-2017-0044

Mots clésFixed point, Strong convergence, Composite Halpern-type iteration, Non- expansive mapping, CAT(0) space

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
Fixed point, Strong convergence, Composite Halpern-type iteration, Non- expansive mapping, CAT(0) space