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Iterative approximation of solutions to nonlinear equations of strongly accretive operators in Banach spaces

โœ Scribed by Lu-Chuan Zeng

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
397 KB
Volume
31
Category
Article
ISSN
0362-546X

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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

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Let X be a uniformly smooth Banach space and T : X ยช X a strongly accretive operator. In this paper, we give the error bounds for the approximation solutions of the nonlinear equation Tx s f generated by both the Mann and the Ishikawa iteration process. On the other hand, let K be a nonempty convex