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Continuity properties of Newton's mapping for variational inclusions - MaRDI portal

Continuity properties of Newton's mapping for variational inclusions (Q2704775)

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Continuity properties of Newton's mapping for variational inclusions
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    12 March 2001
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    variational inclusion
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    Newton method
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    optimization
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    Continuity properties of Newton's mapping for variational inclusions (English)
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    This paper deals with the continuity properties of solutions to variational inclusions and associated properties of sequences generated by Newton's method. The author considers three continuity properties which play central roles in quantitative stability analysis of variational problems: the local upper-Lipschitz property, the Aubin continuity, and the Lipschitzian localization. Some new insights into convergence properties of Newton's method for variational inclusions are presented as well.
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