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A Characterization of Proximal Subgradient Set-Valued Mappings
Published online by Cambridge University Press: 20 November 2018
Abstract
In this paper we tackle the problem of identifying set-valued mappings that are subgradient set-valued mappings. We show that a set-valued mapping is the proximal subgradient mapping of a lower semicontinuous function bounded below by a quadratic if and only if it satisfies a monotone selection property.
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- Research Article
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- Copyright © Canadian Mathematical Society 1993
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