Duality theory in mathematical programming and optimal control
Jiří V. Outrata, Jiří Jarušek (1984)
Kybernetika
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Jiří V. Outrata, Jiří Jarušek (1984)
Kybernetika
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Horaţiu-Vasile Boncea, Sorin-Mihai Grad (2013)
Open Mathematics
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In this paper we present different regularity conditions that equivalently characterize various ɛ-duality gap statements (with ɛ ≥ 0) for constrained optimization problems and their Lagrange and Fenchel-Lagrange duals in separated locally convex spaces, respectively. These regularity conditions are formulated by using epigraphs and ɛ-subdifferentials. When ɛ = 0 we rediscover recent results on stable strong and total duality and zero duality gap from the literature.
Tran Quoc Chien (1992)
Kybernetika
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Abdelhakim Maaden (2002)
Extracta Mathematicae
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Dominique Azé, Jean-Paul Penot (1995)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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López, G. (1996)
Acta Mathematica Universitatis Comenianae. New Series
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