A note on higher-order nondifferentiable symmetric duality in multiobjective programming

DOI10.1016/j.aml.2011.02.021zbMath1220.90114OpenAlexW2073677690MaRDI QIDQ540274

Ravi P. Agarwal, Izhar Ahmad, Shiv K. Gupta

Publication date: 1 June 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.02.021

zbMATH Keywords

duality theoremssupport functionhigher-order symmetric dualitynondifferentiable programminghigher-order \(F\)-convexity

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)

Related Items (12)

Symmetric duality for a higher-order nondifferentiable multiobjective programming problem ⋮ Symmetric duality for second-order fractional programs ⋮ Duality for nondifferentiable multiobjective higher-order symmetric programs over cones involving generalized \((F,{\alpha},{\rho},d)\)-convexity ⋮ Unified higher order duality in nondifferentiable multiobjective programming involving cones ⋮ A pair of Mond-Weir type third order symmetric duality ⋮ Higher-order symmetric duality for multiobjective programming with cone constraints ⋮ Higher order fractional symmetric duality over cone constraints ⋮ Multiobjective second-order mixed symmetric duality with a square root term ⋮ Wolfe type higher order multiple objective nondifferentiable symmetric dual programming with generalized invex function ⋮ A note on strong duality theorem for a multiobjective higher order nondifferentiable symmetric dual programs ⋮ Higher-order duality for multiobjective optimization problems containing support functions over cones ⋮ Second-order symmetric duality in multiobjective variational problems

Cites Work

• Unnamed Item
• More on subgradient duality
• Higher-order symmetric duality in nondifferentiable multiobjective programming problems.
• Second order symmetric duality in non-differentiable multiobjective programming with \(F\)-convexity
• Nondifferentiable second order symmetric duality in multiobjective programming

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