Abstract and Applied Analysis
Volume 2011 (2011), Article ID 530683, 14 pages
http://dx.doi.org/10.1155/2011/530683
Research Article

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

Kasamsuk Ungchittrakool

Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand

Received 26 January 2011; Revised 21 April 2011; Accepted 9 June 2011

Academic Editor: P. J. Y. Wong

Copyright © 2011 Kasamsuk Ungchittrakool. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.