Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 281070, 13 pages
doi:10.1155/2010/281070
Research Article

Weak and Strong Convergence Theorems for Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense

Jing Zhao1,2 and Songnian He1,2

1College of Science, Civil Aviation University of China, Tianjin 300300, China
2Tianjin Key Laboratory For Advanced Signal Processing, Civil Aviation University of China, Tianjin 300300, China

Received 23 June 2010; Accepted 19 October 2010

Academic Editor: W. A. Kirk

Copyright © 2010 Jing Zhao and Songnian He. 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 study the convergence of Ishikawa iteration process for the class of asymptotically κ-strict pseudocontractive mappings in the intermediate sense which is not necessarily Lipschitzian. Weak convergence theorem is established. We also obtain a strong convergence theorem by using hybrid projection for this iteration process. Our results improve and extend the corresponding results announced by many others.