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Characterizations of ɛ-duality gap statements for constrained optimization problems

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Boncea H.-V., Grad S.-M.

Open Mathematics

2013

tom 11

nr 11

2020-2033

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.

Ograniczanie wyników

1 Open Mathematics

1 Boncea H.-V.

1 Grad S.-M.

1 2013

Wyniki wyszukiwania

Characterizations of ɛ-duality gap statements for constrained optimization problems