Strong convergence of an iterative algorithm for an infinite family of strict pseudo-contractions in Banach spaces

• DOI: 10.1016/j.amc.2010.01.111
• Publication Date: 2010-02-05T09:18:36Z
• Authors: Qiao-Li Dong; Songnian He; Fang Su
• Keywords: 0101 mathematics; 01 natural sciences

In this paper, we introduce a new W-mapping and present an iterative algorithm for an infinite family of strict pseudo-contractions. Strong convergence theorems are proved in Banach spaces. Our results improve and extend the corresponding result announced by Cai and Hu [G. Cai, C. Hu, Strong convergence theorems of modified Ishikawa iterative process with errors for an infinite family of strict pseudo-contractions, Nonlinear Anal. 71(12) (2009) 6044-6053].