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No differentiable perturbed Newton's method for functions with values in a cone

Abstract : This paper deals with variational inclusions of the form 0 2 f(x) + g(x) K where f is smooth function from a re exive Banach space X into a Banach space Y , g is a Lipschitz function from X into Y and K is a nonempty closed convex cone in the space Y . We show that the previous problem can be solved by an extension of the Zincenko's method which can be seen as a perturbed Newton's method. Numerical results are given at the end of the paper.
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https://hal.archives-ouvertes.fr/hal-00924143
Contributor : Alain Pietrus <>
Submitted on : Monday, January 6, 2014 - 2:12:30 PM
Last modification on : Monday, May 25, 2020 - 2:22:04 PM

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  • HAL Id : hal-00924143, version 1

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Alain Pietrus. No differentiable perturbed Newton's method for functions with values in a cone. Revista Investigacion Operacional, 2014, 35 (1), pp.58-67. ⟨hal-00924143⟩

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