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Iterative solutions of nonlinear equations with φ-strongly accretive operators in uniformly smooth Banach spaces

✍ Scribed by Zeqing Liu; S.M. Kang

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
814 KB
Volume
45
Category
Article
ISSN
0898-1221

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✦ Synopsis

Suppose that X is a uniformly smooth Banach space and T : X -X is a demicontinuous (not necessarily Lipschitz) #-strongly accretive operator. It is proved that the Ishikawa iterative method with errors converges strongly to the solutions of the equations f = TX and f = z+Tx, respectively. A related result deals with the approximation of fixed points of +-strongly pseudocotitractive operators. Our results extend, improve, and unify the recent results obtained by Chidume [1,2] and Zhou [3].

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