TY - JOUR
T1 - Strong convergence theorems for a common zero of a finite family of m-accretive mappings
AU - Zegeye, Habtu
AU - Shahzad, Naseer
PY - 2007/3/1
Y1 - 2007/3/1
N2 - Suppose K is a closed convex subset of a strictly convex real Banach space E which has a uniformly Gâteaux differentiable norm. Suppose that every nonempty closed convex bounded subset of E has the fixed point property for nonexpansive mappings. A strong convergence theorem is proved for a common zero of a family of m-accretive mappings from K to E. As a consequence, an iterative method is constructed to converge to a common fixed point (assuming existence) of a family of pseudocontractive mappings from K to E under certain mild condition.
AB - Suppose K is a closed convex subset of a strictly convex real Banach space E which has a uniformly Gâteaux differentiable norm. Suppose that every nonempty closed convex bounded subset of E has the fixed point property for nonexpansive mappings. A strong convergence theorem is proved for a common zero of a family of m-accretive mappings from K to E. As a consequence, an iterative method is constructed to converge to a common fixed point (assuming existence) of a family of pseudocontractive mappings from K to E under certain mild condition.
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U2 - 10.1016/j.na.2006.01.012
DO - 10.1016/j.na.2006.01.012
M3 - Article
AN - SCOPUS:33845308225
SN - 0362-546X
VL - 66
SP - 1161
EP - 1169
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 5
ER -