TY - JOUR
T1 - Strong convergence theorems for a common zero of a countably infinite family of α-inverse strongly accretive mappings
AU - Zegeye, Habtu
AU - Shahzad, Naseer
PY - 2009/7/1
Y1 - 2009/7/1
N2 - Let E be a real reflexive Banach space which has a uniformly Gâteaux differentiable norm. Assume that every nonempty closed convex and bounded subset of E has the fixed point property for nonexpansive mappings. Strong convergence theorems for approximation of a common zero of a countably infinite family of α-inverse strongly accretive mappings are proved. Related results deal with strong convergence of theorems to a common fixed point of a countably infinite family of strictly pseudocontractive mappings.
AB - Let E be a real reflexive Banach space which has a uniformly Gâteaux differentiable norm. Assume that every nonempty closed convex and bounded subset of E has the fixed point property for nonexpansive mappings. Strong convergence theorems for approximation of a common zero of a countably infinite family of α-inverse strongly accretive mappings are proved. Related results deal with strong convergence of theorems to a common fixed point of a countably infinite family of strictly pseudocontractive mappings.
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U2 - 10.1016/j.na.2008.10.091
DO - 10.1016/j.na.2008.10.091
M3 - Article
AN - SCOPUS:64849096134
SN - 0362-546X
VL - 71
SP - 531
EP - 538
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 1-2
ER -