<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

Data publikacji: 31 mar 2018

Zakres stron: 183 - 197

Otrzymano: 01 mar 2017

Przyjęty: 31 mar 2017

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

Słowa kluczowe
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

Data publikacji: 31 mar 2018

Zakres stron: 183 - 197

Otrzymano: 01 mar 2017

Przyjęty: 31 mar 2017

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

Słowa kluczoweFixed 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.

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