Second-Order Duality for Nondifferentiable Multiobjective Programming Problems

DOI10.1080/01630560701563792zbMath1133.90391OpenAlexW2012292769MaRDI QIDQ5452402

Izhar Ahmad, Sarita Sharma

Publication date: 4 April 2008

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560701563792

zbMATH Keywords

second-order dualitynondifferentiable multiobjective programmingproperly efficient solutiongeneralized bonvexity

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46)

Related Items (9)

Higher order duality of multiobjective constrained ratio optimization problems ⋮ Unified higher order duality in nondifferentiable multiobjective programming involving cones ⋮ Mixed type duality in non-differentiable multi-objective fractional programming under generalised \((\phi, \rho)\)-univex function ⋮ Mixed type duality in multiobjective fractional programming under generalized \(\rho\)-univex function ⋮ Second-Order Parameter-Free Duality Models in Semi-Infinite Minmax Fractional Programming ⋮ Non-differentiable vector programming problem and duality for higher-order cone convex functions ⋮ Second order duality for nondifferentiable multiobjective programming problem involving \((F, \alpha , \rho , d)-V\)-type I functions ⋮ Higher-Order Duality in Nondifferentiable Multiobjective Programming ⋮ Correspondence between a new class of generalized cone convexity and higher order duality

Cites Work

• On efficiency and duality for multiobjective programs
• Second- and higher-order duality in nonlinear programming
• Sufficiency and duality in multiobjective programming involving generalized \(F\)-convex functions
• A class of nondifferentiable mathematical programming problems
• Second order mixed type duality in multiobjective programming problems.
• Second order \((F, \alpha , \rho , d)\)-convexity and duality in multiobjective programming
• Strong and Weak Convexity of Sets and Functions
• An optimality condition for a nondifferentiable convex program
• Duality for a non-differentiable programming problem
• Second order generalized invexity and duality in mathematical programming
• Second Order Duality in Multiobjective Programming Involving Generalized Type I Functions
• Sufficiency and Duality in Multiobjective Programming with Generalized (F, ρ)-Convexity

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