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Metric subregularity of order q and the solving of inclusions

Michaël GayduMichel GeoffroyCélia Jean-Alexis — 2011

Open Mathematics

We consider some metric regularity properties of order q for set-valued mappings and we establish several characterizations of these concepts in terms of Hölder-like properties of the inverses of the mappings considered. In addition, we show that even if these properties are weaker than the classical notions of regularity for set-valued maps, they allow us to solve variational inclusions under mild assumptions.

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