Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 934692, 9 pages
Research Article

New Iterative Schemes for Asymptotically Quasi-Nonexpansive Mappings

1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
2Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan

Received 20 December 2009; Accepted 15 January 2010

Academic Editor: Yeol Je Cho

Copyright © 2010 Yonghong Yao and Yeong-Cheng Liou. 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.


We consider an iterative scheme for approximating the common fixed points of two asymptotically quasi-nonexpansive mappings in the intermediate sense in Banach spaces. The present results improve and extend some recent corresponding results of Lan (2006) and many others.