Abstract
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.
Citation
Yekini Shehu. Jerry N. Ezeora. "Path Convergence and Approximation of Common Zeroes of a Finite Family of -Accretive Mappings in Banach Spaces." Abstr. Appl. Anal. 2010 1 - 14, 2010. https://doi.org/10.1155/2010/285376
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