Abstract and Applied Analysis
Volume 2009 (2009), Article ID 649831, 18 pages
doi:10.1155/2009/649831
Research Article

Strong Convergence of Generalized Projection Algorithms for Nonlinear Operators

Chakkrid Klin-eam,1 Suthep Suantai,1 and Wataru Takahashi2

1Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
2Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo 152-8552, Japan

Received 22 June 2009; Accepted 15 October 2009

Academic Editor: Simeon Reich

Copyright © 2009 Chakkrid Klin-eam et al. 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 establish strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of two relatively nonexpansive mappings in a Banach space by using a new hybrid method. Moreover we apply our main results to obtain strong convergence for a maximal monotone operator and two nonexpansive mappings in a Hilbert space.