Second Order Duality in Multiobjective Programming

DOI10.1515/JAA.2008.131zbMath1189.90136OpenAlexW2146839627MaRDI QIDQ3527986

Zakir Husain, Izhar Ahmad

Publication date: 1 October 2008

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.2008.131

zbMATH Keywords

multiobjective programmingsecond order dualityefficient solutiongeneralized \((F, \alpha, \rho, d)\)-convexity

Mathematics Subject Classification ID

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

Cites Work

• On efficiency and duality for multiobjective programs
• Second- and higher-order duality in nonlinear programming
• Constrained qualifications in multiobjective optimization problems: Differentiable case
• Sufficiency and duality in multiobjective programming involving generalized \(F\)-convex functions
• Efficiency conditions and duality for a class of multiobjective fractional programming problems
• Optimality conditions and duality in nondifferentiable minimax fractional programming with generalized convexity
• Sufficiency and duality in multiobjective programming under generalized type I functions
• Duality in nondifferentiable minimax fractional programming with generalized convexity
• Second order \((F, \alpha , \rho , d)\)-convexity and duality in multiobjective programming
• Strong and Weak Convexity of Sets and Functions
• Sufficiency and Duality in Multiobjective Programming with Generalized (F, ρ)-Convexity
• Sufficiency and duality in multiobjective programming involving generalized \((F,\rho)\)-convexity
• Optimality conditions and duality for a class of nonlinear fractional programming problems.

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