TY - JOUR
T1 - Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps
AU - Shahzad, Naseer
AU - Zegeye, Habtu
PY - 2007/6/15
Y1 - 2007/6/15
N2 - The aim of this paper is to prove strong convergence of a modified implicit iteration process to a common fixed point for a finite family of generalized asymptotically quasi-nonexpansive mappings. An immediate corollary of our theorems provides an affirmative response to a question raised by Xu and Ori [H.K. Xu, R. Ori, An implicit iterative process for nonexpansive mappings, Numer. Funct. Anal. Optim. 22 (2001) 767-773].
AB - The aim of this paper is to prove strong convergence of a modified implicit iteration process to a common fixed point for a finite family of generalized asymptotically quasi-nonexpansive mappings. An immediate corollary of our theorems provides an affirmative response to a question raised by Xu and Ori [H.K. Xu, R. Ori, An implicit iterative process for nonexpansive mappings, Numer. Funct. Anal. Optim. 22 (2001) 767-773].
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U2 - 10.1016/j.amc.2006.11.152
DO - 10.1016/j.amc.2006.11.152
M3 - Article
AN - SCOPUS:34249090516
SN - 0096-3003
VL - 189
SP - 1058
EP - 1065
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 2
ER -