Full paper in PDF format:
$%C. Cabuzel and A. Piétrus, Solving variational iby a method obtained using a
multipoint iteration formula, Rev. Mat. Complut. 22 (2009), no. 1, 63–74.%$
ABSTRACT
This paper deals
with variational inclusions of the form: where
is a single
function admitting a second order Fréchet derivative and
is a set-valued map
acting in Banach spaces. We prove the existence of a sequence
satisfying
where the single-valued function involved in this relation is an approximation of
the function
based on a multipoint iteration formula and we show that this
method is locally cubically convergent.
Key words: set-valued mapping, generalized equations, pseudo-Lipschitz maps,
multipoint iteration formula.
2000 Mathematics Subject Classification: 49J53, 47H04, 65K10.