Enlargement of Monotone Operators with Applications to Variational Inequalities

Abstract

Given a point-to-set operator T, we introduce the operator T " deened as T " (x) = fu : hu ? v; x ? yi 0 for all y 2 R n ; v 2 T(y)g. When T is maximal monotone T " inherits most properties of the "-subdiierential, e.g. it is bounded on bounded sets, T " (x) contains the image through T of a suuciently small ball around x, etc. We prove these and other… (More)

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Cite this paper

@inproceedings{Burachik2007EnlargementOM, title={Enlargement of Monotone Operators with Applications to Variational Inequalities}, author={Regina Sandra Burachik and Alfredo N. Iusem}, year={2007} }