Local analysis of a cubically convergent method for variational inclusions
Volume 38 / 2011
Applicationes Mathematicae 38 (2011), 183-191
MSC: 49J53, 47H04, 65K10.
DOI: 10.4064/am38-2-4
Abstract
This paper deals with variational inclusions of the form $0\in \varphi(x)+F(x)$ where $\varphi$ is a single-valued function admitting a second order Fréchet derivative and $F$ is a set-valued map from $\Bbb R^q$ to the closed subsets of $\Bbb R^q$. When a solution $\bar z$ of the previous inclusion satisfies some semistability properties, we obtain local superquadratic or cubic convergent sequences.
