More on subgradient duality

DOI10.1016/0022-247X(79)90228-2zbMath0421.90062MaRDI QIDQ1133465

Murray Schechter

Publication date: 1979

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

zbMATH Keywords

Kuhn-Tucker theoremconverse duality theoremnonlinear differential programmingsubgradient duality

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37)

Related Items (24)

Mixed type duality for a programming problem containing support function. ⋮ Second order symmetric duality in non-differentiable multiobjective programming with \(F\)-convexity ⋮ Optimality for set functions with values in ordered vector spaces ⋮ Higher-order nondifferentiable symmetric duality with generalized \(F\)-convexity ⋮ Higher order symmetric duality in nondifferentiable multi-objective programming problems involving generalized cone convex functions ⋮ Second and higher order duality in Banach space under \(\rho-(\eta,\theta)\)-invexity ⋮ Nondifferentiable multiobjective second-order symmetric duality ⋮ Multiobjective second-order mixed symmetric duality with a square root term ⋮ Unnamed Item ⋮ Necessary conditions for optimality of nondifferentiable convex multiobjective programming ⋮ On optimality conditions and duality for non-differentiable interval-valued programming problems with the generalized \((F, \rho)\)-convexity ⋮ A note on strong duality theorem for a multiobjective higher order nondifferentiable symmetric dual programs ⋮ Generalized second-order mixed symmetric duality in nondifferentiable mathematical programming ⋮ A note on higher-order nondifferentiable symmetric duality in multiobjective programming ⋮ On second-order symmetric duality in nondifferentiable programming ⋮ Second order symmetric duality in nondifferentiable multiobjective fractional programming with cone convex functions ⋮ Vector saddle-point and distributed parameter differential games ⋮ Wolfe type second-order symmetric duality in nondifferentiable programming ⋮ Second order symmetric duality in nondifferentiable multiobjective programming ⋮ On nonlinear programming with support functions ⋮ Duality and existence theory for nondifferentiable programming ⋮ Duality theorem of nondifferentiable convex multiobjective programming ⋮ Optimality conditions and duality in subdifferentiable multiobjective fractional programming ⋮ Non-differentiable second order symmetric duality in mathematical programming with \(F\)-convexity

Cites Work

• A subgradient duality theorem
• A class of nondifferentiable mathematical programming problems
• Lectures on mathematical theory of extremum problems. Translated from the Russian by D. Louvish
• A duality theorem for non-linear programming
• A programming problem with an L_p norm in the objective function
• On a constraint qualification in a nondifferentiable programming problem
• A New Approach to Lagrange Multipliers
• A Duality Theorem for Nonlinear Programming
• Technical Note—On Converse Duality in Nonlinear Programming
• Sufficient conditions for extremum, penalty functions and regularity

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