Weak and Strong Subgradients of Set-Valued Maps

Elvira Hernández () and Luis Rodríguez-Marín ()
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Elvira Hernández: UNED, E.T.S.I. Industriales
Luis Rodríguez-Marín: UNED, E.T.S.I. Industriales

Journal of Optimization Theory and Applications, 2011, vol. 149, issue 2, No 7, 352-365

Abstract: Abstract We consider weak subgradients of a set-valued map and present a new notion of strong subgradient. We study their properties and compare our constructions and results with other developments. We give existence conditions of both types and establish several optimality conditions in terms of set optimization.

Keywords: Subgradients; Set-valued maps; Optimality conditions; Set optimization (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10957-010-9787-x

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