Generalized second-order mixed symmetric duality in nondifferentiable mathematical programming.
Agarwal, Ravi P., Ahmad, Izhar, Gupta, S.K., Kailey, N. (2011)
Abstract and Applied Analysis
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Agarwal, Ravi P., Ahmad, Izhar, Gupta, S.K., Kailey, N. (2011)
Abstract and Applied Analysis
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Massimiliano Ferrara, Maria Viorica Stefanescu (2008)
The Yugoslav Journal of Operations Research
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Tran Quoc Chien (1984)
Kybernetika
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Shyam S. Chadha (1988)
Trabajos de Investigación Operativa
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Duality of linear programming is used to establish an important duality theorem for a class of non-linear programming problems. Primal problem has quasimonotonic objective function and a convex polyhedron as its constraint set.
Tran Quoc Chien (1987)
Kybernetika
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Surjeet Kaur Suneja, Pooja Louhan (2014)
RAIRO - Operations Research - Recherche Opérationnelle
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In this paper we give necessary and sufficient optimality conditions for a vector optimization problem over cones involving support functions in objective as well as constraints, using cone-convex and other related functions. We also associate a unified dual to the primal problem and establish weak, strong and converse duality results. A number of previously studied problems appear as special cases.
Tran Quoc Chien (1987)
Kybernetika
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Anatoly Antipin (2000)
The Yugoslav Journal of Operations Research
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I.M. Stancu-Minasian, Gheorghe Dogaru, Andreea Mădălina Stancu (2009)
The Yugoslav Journal of Operations Research
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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.