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

Yekini Shehu and Jerry N. Ezeora

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: Let E be a real Banach space which is uniformly smooth and uniformly convex. Let K be a nonempty, closed, and convex sunny nonexpansive retract of E, where Q is the sunny nonexpansive retraction. If E admits weakly sequentially continuous duality mapping j, path convergence is proved for a nonexpansive mapping T : K → K. As an application, we prove strong convergence theorem for common zeroes of a finite family of m‐accretive mappings of K to E. 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 K to E under certain mild conditions.

Date: 2010
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https://doi.org/10.1155/2010/285376

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:285376

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