On nonlinear programming with support functions

DOI10.1007/BF02936208zbMath1007.90066MaRDI QIDQ1847590

Yanyan Li

Publication date: 26 March 2003

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

optimality conditionsnonlinear programmingsupport functionMond-Weir type dualityWolfe type duality

Mathematics Subject Classification ID

Mixed integer programming (90C11) Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Quadratic programming (90C20)

Related Items (10)

Mixed type duality for a programming problem containing support function. ⋮ On fractional programming containing support functions ⋮ Vector optimization over cones involving support functions using generalized \((\Phi,\rho)\)-convexity ⋮ Higher order duality in multiobjective fractional programming with support functions ⋮ Optimality and duality in nondifferentiable multiobjective mathematical programming involving higher order \((F,\alpha,\rho,d)\)-type I functions ⋮ Higher-order duality for multiobjective optimization problems containing support functions over cones ⋮ Second order duality for fractional programming with support functions. ⋮ \(\epsilon \)-optimal solutions in nonconvex semi-infinite programs with support functions ⋮ Optimality and duality for nonsmooth semi-infinite multiobjective programming with support functions ⋮ On multiobjective nonlinear programming with support functions

Cites Work

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• More on subgradient duality
• A duality theorem for a homogeneous fractional programming problem
• A subgradient duality theorem
• A class of nondifferentiable mathematical programming problems
• Generalized concavity and duality with a square root term
• Optimization and nonsmooth analysis
• A programming problem with an L_p norm in the objective function
• A New Approach to Lagrange Multipliers

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