SUFFICIENT OPTIMALITY CONDITIONS AND DUALITY IN MULTIOBJECTIVE OPTIMIZATION INVOLVING GENERALIZED CONVEXITY

DOI10.1081/NFA-100108308zbMath1052.90071MaRDI QIDQ2785237

Mohamed Hachimi, Brahim Aghezzaf

Publication date: 2001

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

zbMATH Keywords

Multiobjective programming, Pareto minimal solutions, Sufficient conditions, Convexity, Invexity, Duality, Converse duality

Mathematics Subject Classification ID

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

Related Items (6)

On optimality conditions for multiobjective optimization problems in topological vector space ⋮ Nondifferentiable multiobjective programming under generalized \(d\)-univexity ⋮ Second order mixed type duality in multiobjective programming problems. ⋮ Mixed type converse duality in multiobjective programming problems ⋮ Second Order Mixed Symmetric Duality in Non-Differentiable Multi-Objective Mathematical Programming ⋮ Sufficiency and duality for nonsmooth multiobjective programming problems involving generalized univex functions

Cites Work

• Optimality conditions in multiobjective differentiable programming
• A converse duality theorem in multiple objective programming
• Pre-invex functions in multiple objective optimization
• On sufficiency of the Kuhn-Tucker conditions
• \(D\)-invexity and optimality conditions
• Efficiency and generalized convex duality for multiobjective programs
• Second-order optimality conditions in multiobjective optimization problems
• Generalization of preinvex and B-vex functions
• Optimality criteria and duality in multiple-objective optimization involving generalized invexity
• Constrained minimization under vector-valued criteria in finite dimensional spaces
• Necessary and sufficient conditions in constrained optimization
• Convex Transformable Programming Problems and Invexity
• Generalized invexity and duality in multiobjective programming problems
• Sufficiency and duality in multiobjective programming involving generalized \((F,\rho)\)-convexity

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