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The convergence of the modified Mann and Ishikawa iterations in Banach spaces

✍ Scribed by Zhiqun Xue, Guiwen Lv

Book ID
120732657
Publisher
Hindawi Publishing Corporation
Year
2013
Tongue
English
Weight
182 KB
Volume
2013
Category
Article
ISSN
1025-5834

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Let K be a nonempty compact convex subset of a uniformly convex Banach space, and T : K β†’ P(K ) a multivalued nonexpansive mapping. We prove that the sequences of Mann and Ishikawa iterates converge to a fixed point of T . This generalizes former results proved by Sastry and Babu [K.P.R. Sastry, G.V