Generalized Differentiation and Duality in Infinite Dimensions under Polyhedral Convexity

This paper addresses the study and applications of polyhedral duality in locally convex topological vector (LCTV) spaces. We first revisit the classical Rockafellar’s proper separation theorem for two convex sets one of which is polyhedral and then present its LCTV extension replacing the relative i...

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Vydané v:	Set-valued and variational analysis Ročník 30; číslo 4; s. 1503 - 1526
Hlavní autori:	Cuong, D. V., Mordukhovich, B. S., Nam, N. M., Sandine, G.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Dordrecht Springer Netherlands 01.12.2022 Springer Nature B.V
Predmet:	Analysis Convexity Mathematics Mathematics and Statistics Optimization Geometric approach 90C31 Calculus rules Solution maps 49J53 Normal cone 49J52 Coderivative Relative interior Generalized differentiation Convex analysis
ISSN:	1877-0533, 1877-0541
On-line prístup:	Získať plný text
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