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 -