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arXiv · 1512.03634

On a strong covering property of multivalued mappings

A. Uderzo
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Abstract

In this paper, a strong variant for multivalued mappings of the well-known property of openness at a linear rate is studied. Among other examples, a simply characterized class of closed convex processes between Banach spaces, which satisfies such a covering behaviour, is singled out. Equivalent reformulations of this property and its stability under Lipschitz perturbations are investigated in a metric space setting. Applications to the solvability of set-valued inclusions and to the exact penalization of optimization problems with set-inclusion constraints are discussed.

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A. Uderzo. 2015-12-11. On a strong covering property of multivalued mappings. https://arxiv.org/abs/1512.03634

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