Abstract and Applied Analysis
Volume 2009 (2009), Article ID 649831, 18 pages
doi:10.1155/2009/649831
Strong convergence of generalized projection algorithms for nonlinear operators
Chakkrid Klin-Eam1
, Suthep Suantai1
and Wataru Takahashi3
1Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
3Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo 152-8552, Japan
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.