International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 16, Article ID 63435, 4 pages
doi:10.1155/IJMMS/2006/63435
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
Abstract
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.