2017
Том 69
№ 9

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Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators

Nguen Byong, Vu Quang Hung

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Abstract

The Newton-Kantorovich iterative regularization for nonlinear ill-posed equations involving monotone operators in Hilbert spaces is developed for the case of accretive operators in Banach spaces. An estimate for the convergence rates of the method is established.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 2, pp 323-330.

Citation Example: Nguen Byong, Vu Quang Hung Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators // Ukr. Mat. Zh. - 2005. - 57, № 2. - pp. 271–276.

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