A Notion of Fenchel Conjugate for Set-Valued Mappings

In this paper, we present a novel concept of the Fenchel conjugate for set-valued mappings and investigate its properties in finite and infinite dimensions. After establishing some fundamental properties of the Fenchel conjugate for set-valued mappings, we derive its main calculus rules in various s...

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Vydáno v:	Journal of optimization theory and applications Ročník 203; číslo 2; s. 1263 - 1292
Hlavní autoři:	Nam, Nguyen Mau, Sandine, Gary, Thieu, Nguyen Nang, Yen, Nguyen Dong
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York Springer US 01.11.2024
Témata:	Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Engineering Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Theory of Computation 90C31 49J53 49J52 Coderivative Subdifferential Convex set-valued mapping Relative interior Strong quasi-relative interior Fenchel conjugate Quasi-relative interior
ISSN:	0022-3239, 1573-2878
On-line přístup:	Získat plný text
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