Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 647085, 10 pages
doi:10.1155/2010/647085
Some convergence theorems of a sequence in complete metric spaces and its applications
M.A. Ahmed
and F.M. Zeyada
Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt
Abstract
The concept of weakly quasi-nonexpansive mappings with respect to a sequence is introduced. This concept generalizes the concept of quasi-nonexpansive mappings with respect to a sequence due to Ahmed and Zeyada (2002). Mainly, some convergence theorems are established and their applications to certain iterations are given.