TY - JOUR
T1 - Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces
AU - Fukhar-Ud-Din, Hafiz
AU - Khan, Abdul Rahim
PY - 2005/7/20
Y1 - 2005/7/20
N2 - We prove that an implicit iterative process with errors converges weakly and strongly to a common fixed point of a finite family of asymptotically quasi-nonexpansive mappings on unbounded sets in a uniformly convex Banach space. Our results generalize and improve upon, among others, the corresponding recent results of Sun (2003) in the following two different directions: (i) domain of the mappings is unbounded, (ii) the iterative sequence contains an error term.
AB - We prove that an implicit iterative process with errors converges weakly and strongly to a common fixed point of a finite family of asymptotically quasi-nonexpansive mappings on unbounded sets in a uniformly convex Banach space. Our results generalize and improve upon, among others, the corresponding recent results of Sun (2003) in the following two different directions: (i) domain of the mappings is unbounded, (ii) the iterative sequence contains an error term.
UR - http://www.scopus.com/inward/record.url?scp=27744436540&partnerID=8YFLogxK
U2 - 10.1155/IJMMS.2005.1643
DO - 10.1155/IJMMS.2005.1643
M3 - Article
AN - SCOPUS:27744436540
SN - 0161-1712
VL - 2005
SP - 1643
EP - 1653
JO - International Journal of Mathematics and Mathematical Sciences
JF - International Journal of Mathematics and Mathematical Sciences
IS - 10
ER -