IJPAM: Volume 61, No. 2 (2010)
STRONG CONVERGENCE THEOREM OF A HYBRID
PROJECTION ALGORITHM FOR A FAMILY OF
QUASI-
-ASYMPTOTICALLY
NONEXPANSIVE MAPPINGS (I)
PROJECTION ALGORITHM FOR A FAMILY OF
QUASI-

NONEXPANSIVE MAPPINGS (I)
J.F. Tang
, S.S. Chang
, M. Liu
, J.A. Liu
Department of Mathematics
Yibin University
Yibin, Sichuan, 644007, P.R. CHINA
e-mail: jinfangt_79@163.com
e-mail: changss@yahoo.cn;
e-mail: liuminybsc@yahoo.com.cn
Department of Mathematics and Physics
Beijing Institute of Petro-Chemical Industry
Beijing, 102617, P.R. CHINA
e-mail: liujingai@bipt.edu.cn





Yibin University
Yibin, Sichuan, 644007, P.R. CHINA




Beijing Institute of Petro-Chemical Industry
Beijing, 102617, P.R. CHINA
e-mail: liujingai@bipt.edu.cn
Abstract.The main purpose of this paper is by using a new hybrid projection iterative algorithm to prove some strong convergence theorems for a family of quasi--asymptotically nonexpansive mappings. The results presented in the paper improve and extend the corresponding results announced by some authors.
Received: April 1, 2010
AMS Subject Classification: 47H09, 47H10
Key Words and Phrases: quasi--asymptotically nonexpansive mapping, asymptotically regular mapping, hybrid projection iterative algorithm, strong convergence theorem
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 61
Issue: 2