Abstract and Applied Analysis
Volume 2012 (2012), Article ID 636217, 13 pages
http://dx.doi.org/10.1155/2012/636217
Research Article

On Asymptotically Quasi- -Nonexpansive Mappings in the Intermediate Sense

Xiaolong Qin1 and Lin Wang2

1Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China
2College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming 650221, China

Received 1 September 2012; Accepted 9 October 2012

Academic Editor: Yongfu Su

Copyright © 2012 Xiaolong Qin and Lin Wang. 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

A projection iterative process is investigated for the class of asymptotically quasi- -nonexpansive mappings in the intermediate sense. Strong convergence theorems of common fixed points of a family of asymptotically quasi- -nonexpansive mappings in the intermediate sense are established in the framework of Banach spaces.