Optimality and mixed duality in multiobjective \(E\)-convex programming

DOI10.1186/S13660-015-0854-6zbMath1332.90252OpenAlexW2181947535WikidataQ59428150 ScholiaQ59428150MaRDI QIDQ262686

Do Sang Kim, Liguo Jiao, Guang-Ri Piao

Publication date: 30 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0854-6

zbMATH Keywords

multiobjective programmingoptimality condition\(E\)-convex functionmixed duality

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Multi-objective and goal programming (90C29) Nonlinear programming (90C30)

Related Items (5)

\(V-E\)-invexity in \(E\)-differentiable multiobjective programming ⋮ Unnamed Item ⋮ Mixed \(E\)-duality for \(E\)-differentiable vector optimization problems under (generalized) \(V\)-\(E\)-invexity ⋮ Optimality conditions for \(E\)-differentiable vector optimization problems with the multiple interval-valued objective function ⋮ Optimality and duality with respect to \(b\)-\((\mathcal{E},m)\)-convex programming

Cites Work

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• On sufficiency of the Kuhn-Tucker conditions
• \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
• Some properties of semi-\(E\)-convex functions.
• Optimality criteria in \(E\)-convex programming
• On the \(E\)-epigraph of an \(E\)-convex function
• Optimality conditions of \(E\)-convex programming for an \(E\)-differentiable function
• Convex Transformable Programming Problems and Invexity
• On \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
• On mixed duality in mathematical programming.

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