Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 216173, 12 pages
doi:10.1155/2011/216173
Research Article

Convergence of Iterative Sequences for Common Zero Points of a Family of 𝑚 -Accretive Mappings in Banach Spaces

Yuan Qing,1 Sun Young Cho,2 and Xiaolong Qin1

1Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China
2Department of Mathematics, Gyeongsang National University, Jinju 660-701, Republic of Korea

Received 21 November 2010; Accepted 8 February 2011

Academic Editor: Yeol J. Cho

Copyright © 2011 Yuan Qing 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 introduce implicit and explicit viscosity iterative algorithms for a finite family of 𝑚 -accretive operators. Strong convergence theorems of the iterative algorithms are established in a reflexive Banach space which has a weakly continuous duality map.