Article ID Journal Published Year Pages File Type
842879 Nonlinear Analysis: Theory, Methods & Applications 2009 8 Pages PDF
Abstract

Let EE be a real reflexive Banach space which has a uniformly Gâteaux differentiable norm. Assume that every nonempty closed convex and bounded subset of EE has the fixed point property for nonexpansive mappings. Strong convergence theorems for approximation of a common zero of a countably infinite family of αα-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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