No differentiable perturbed Newton's method for functions with values in a cone - Archive ouverte HAL
Article Dans Une Revue Revista Investigacion Operacional Année : 2014

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

Résumé

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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Dates et versions

hal-00924143 , version 1 (06-01-2014)

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  • HAL Id : hal-00924143 , version 1

Citer

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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