A generalized differential of real functionals.
V. Novo, L. Rodríguez Marín (1994)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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V. Novo, L. Rodríguez Marín (1994)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Carlos Humes Jr., Paulo José Da silva E Silva (2000)
RAIRO - Operations Research - Recherche Opérationnelle
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Jiří V. Outrata, Jiří Jarušek (1984)
Kybernetika
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A. M. Rubinov, B. M. Glover (1998)
RAIRO - Operations Research - Recherche Opérationnelle
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A. Seeger, M. Volle (1995)
RAIRO - Operations Research - Recherche Opérationnelle
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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.