Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 402602, 16 pages
doi:10.1155/2009/402602
Relaxed composite implicit iteration process for common fixed points of a finite family of strictly pseudocontractive mappings
L.C. Ceng1
, David S. Shyu2
and J.C. Yao3
1Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
2Department of Finance, National Sun Yat-Sen University, Kaohsiung 80424, Taiwan
3Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung 804, Taiwan
Abstract
We propose a relaxed composite implicit iteration process for finding approximate common fixed points of a finite family of strictly pseudocontractive mappings in Banach spaces. Several convergence results for this process are established.