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$%C. Cabuzel and A. Piétrus, Solving variational iby a method obtained using a multipoint iteration formula, Rev. Mat. Complut. 22 (2009), no. 1, 63–74.%$
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.