Strong Convergence by a Hybrid Algorithm for Finding a Common Fixed Point of Lipschitz Pseudocontraction and Strict Pseudocontraction in Hilbert Spaces

Strong Convergence by a Hybrid Algorithm for Finding a Common Fixed Point of Lipschitz Pseudocontraction and Strict Pseudocontraction in Hilbert Spaces

We prove a strong convergence theorem by using a hybrid algorithm in order to find a common fixed point of Lipschitz pseudocontraction and κ-strict pseudocontraction in Hilbert spaces. Our results extend the recent ones announced by Yao et al. (2009) and many others.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Abstract and Applied Analysis 2011-01, Vol.2011 (2011), p.1964-1977
1. Verfasser: Ungchittrakool, Kasamsuk
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Convergence (Mathematics)
Fixed point theory
Hilbert space
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We prove a strong convergence theorem by using a hybrid algorithm in order to find a common fixed point of Lipschitz pseudocontraction and κ-strict pseudocontraction in Hilbert spaces. Our results extend the recent ones announced by Yao et al. (2009) and many others.
ISSN:1085-3375
1687-0409
DOI:10.1155/2011/530683