Academic Editor: S. Reich
Copyright © 2010 Yekini Shehu and Jerry N. Ezeora. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let be a real Banach space which is uniformly smooth and uniformly convex. Let be a
nonempty, closed, and convex sunny nonexpansive retract of , where is the sunny nonexpansive retraction. If admits weakly sequentially continuous duality mapping , path convergence is proved for a nonexpansive
mapping . As an application, we prove strong convergence theorem for common zeroes of a finite
family of -accretive mappings of to . As a consequence, an iterative scheme is constructed to converge to
a common fixed point (assuming existence) of a finite family of pseudocontractive mappings from to under certain mild conditions.