Zegeye, H., Shahzad, N. Strong convergence theorems for a common zero of a countably infinite family of α-inverse strongly accretive mappings
Saudi Arabia · 2009
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. © 2008 Elsevier Ltd. All rights reserved. Author Keywords α-inverse strongly accretive mappings; Nonexpansive mappings; Normalized duality mappings; Strictly convex spaces; Strictly pseudocontractive mappings; Uniformly Gâteaux differentiable norm