Higher-order nondifferentiable symmetric duality with generalized \(F\)-convexity

DOI10.1016/j.jmaa.2006.06.032zbMath1122.90092OpenAlexW2039249286MaRDI QIDQ868778

T. R. Gulati, Shiv K. Gupta

Publication date: 26 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.032

zbMATH Keywords

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

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46)

Related Items (14)

Higher-order symmetric duality in nondifferentiable multiobjective optimization over cones ⋮ Duality for nondifferentiable multiobjective higher-order symmetric programs over cones involving generalized \((F,{\alpha},{\rho},d)\)-convexity ⋮ Multiobjective Symmetric Duality in Higher-Order Fractional Variational Programming ⋮ Higher-order cone-pseudoconvex, quasiconvex and other related functions in vector optimization ⋮ Wolfe type higher order multiple objective nondifferentiable symmetric dual programming with generalized invex function ⋮ Second-Order Parameter-Free Duality Models in Semi-Infinite Minmax Fractional Programming ⋮ Higher-order duality for multiobjective optimization problems containing support functions over cones ⋮ Higher-order duality in vector optimization over cones ⋮ Duality for nondifferentiable minimax fractional programming problem involving higher order \((C,\alpha, \rho, d)\)-convexity ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Higher-order symmetric duality with cone constraints ⋮ A new approach on mixed-type nondifferentiable higher-order symmetric duality ⋮ The study higher-order Wolfe-type non-differentiable multiple objective symmetric duality involving generalized convex functions

Cites Work

• More on subgradient duality
• Second- and higher-order duality in nonlinear programming
• Second order symmetric duality for nonlinear minimax mixed integer programs
• Higher-order symmetric duality in nondifferentiable multiobjective programming problems.
• On nondifferentiable second order symmetric duality in mathematical programming
• Higher-order generalized invexity and duality in nondifferentiable mathematical programming
• Non-differentiable second order symmetric duality in mathematical programming with \(F\)-convexity
• Second order symmetric duality with generalized convexity.
• Non-differentiable symmetric duality in minimax integer programming.
• Symmetric dual nonlinear programs
• Wolfe type second-order symmetric duality in nondifferentiable programming
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