International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 63435, 4 pages

Convergence theorems for I-nonexpansive mapping

B. E. Rhoades1 and Seyit Temir2

1Department of Mathematics, Indiana University, Bloomington 47405-7106, IN, USA
2Department of Mathematics, Art and Science Faculty, Harran University, Sanliurfa 63200, Turkey

Received 18 July 2006; Accepted 5 September 2006

Copyright © 2006 B. E. Rhoades and Seyit Temir. 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 establish the weak convergence of a sequence of Mann iterates of an I-nonexpansive map in a Banach space which satisfies Opial's condition.