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Stable approximation of solutions to irregular nonlinear operator equations in a Hilbert space under large noise

โœ Scribed by M. Yu. Kokurin

Book ID
110194665
Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
196 KB
Volume
47
Category
Article
ISSN
0965-5425

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hbstract--Iterative solutions of a general nonlinear operator equation of the form Ax + )~Tx = f, where A and T are in general nonlinear operators in an appropriate space, have not been developed so far. In this paper, the three well-known Banach, Mann, and Ishikawa iteration processes are used to f

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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