A new iterative scheme for numerical reckoning fixed points of total asymptotically nonexpansive mappings

In this paper, we propose a new iterative algorithm to approximate fixed points of total asymptotically nonexpansive mappings in CAT ( 0 ) spaces. We also provide two examples to illustrate the convergence behavior of the proposed algorithm and numerically compare the convergence of the proposed ite...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Fixed point theory and algorithms for sciences and engineering 2016-12, Vol.2016 (1), p.1-13, Article 83
Hauptverfasser:	Pansuwan, Adoon, Sintunavarat, Wutiphol
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Analysis Applications of Mathematics Approximation Asymptotic properties Computation and Applications Convergence Differential Geometry Fixed Point Theory: Theory Fixed points (mathematics) Iterative methods Mapping Mathematical and Computational Biology Mathematical models Mathematics Mathematics and Statistics Texts Topology
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	In this paper, we propose a new iterative algorithm to approximate fixed points of total asymptotically nonexpansive mappings in CAT ( 0 ) spaces. We also provide two examples to illustrate the convergence behavior of the proposed algorithm and numerically compare the convergence of the proposed iteration scheme with the existing schemes.
ISSN:	1687-1812 1687-1812 2730-5422
DOI:	10.1186/s13663-016-0573-9