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On a Continuous Third-Order Method for Monotone Operator Equations in Hilbert Space

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A continuous third-order method has been constructed for a nonlinear operator equation in a Hilbert space with a strongly monotone operator satisfying the Lipshitz condition. Conditions sufficient for the strong… Click to show full abstract

A continuous third-order method has been constructed for a nonlinear operator equation in a Hilbert space with a strongly monotone operator satisfying the Lipshitz condition. Conditions sufficient for the strong convergence of the method have been derived.

Keywords: order method; hilbert space; third order; method; continuous third; operator

Journal Title: Differential Equations
Year Published: 2018

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