Path Convergence and Approximation of Common Zeroes of a Finite Family of -Accretive Mappings in Banach Spaces

Yekini Shehu and Jerry N. Ezeora

Abstract and Applied Analysis, 2010, vol. 2010, 1-14

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:285376

DOI: 10.1155/2010/285376

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