Abstract and Applied Analysis
Volume 2011 (2011), Article ID 468716, 18 pages
Research Article

On the Convergence of Implicit Iterative Processes for Asymptotically Pseudocontractive Mappings in the Intermediate Sense

1School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, China
2Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China
3Department of Mathematics, Kyungnam University, Masan 631-701, Republic of Korea

Received 20 November 2010; Accepted 9 February 2011

Academic Editor: Narcisa C. Apreutesei

Copyright © 2011 Xiaolong Qin 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.


An implicit iterative process is considered. Strong and weak convergence theorems of common fixed points of a finite family of asymptotically pseudocontractive mappings in the intermediate sense are established in a real Hilbert space.