Path Convergence and Approximation of Common Zeroes of a Finite Family of m-Accretive Mappings in Banach Spaces
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 nonexpans...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/285376 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |