Abstract

JEAN-ALEXIS, CÉLIA  and  PIETRUS, ALAIN. Superquadratic convergence of a Hummel-Seebeck type method. Rev.colomb.mat. [online]. 2009, vol.43, n.1, pp.1-8. ISSN 0034-7426.

The cubic convergence of a method inspired by a Hummel and Seebeck for solving variational inclusions, has been showed when the second order Fréchet derivative of some function f satisfies a Lipschitz condition. Here, we prove the superquadratic convergence of this method whenever this second order Fréchet derivative satisfies a Hölder condition.

Keywords : Set-valued mappings; M-pseudo-Lipschitzness; superquadratic convergence; Hölder-type condition.

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