Duality for non smooth non linear fractional multiobjective programs via (F,ρ) - convexity

DOI10.1080/02331939808844382zbMath0903.90162OpenAlexW1982398571MaRDI QIDQ4397413

Davinder Bhatia, Pankaj Kumar Garg

Publication date: 7 July 1998

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939808844382

zbMATH Keywords

duality resultsnon-smooth nonlinear multiobjective fractional programming

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonsmooth analysis (49J52) Fractional programming (90C32) Duality theory (optimization) (49N15)

Related Items (8)

A class of nonsmooth fractional multiobjective optimization problems ⋮ Set-valued fractional programming problems under generalized cone convexity ⋮ Parametric nondifferentiable multiobjective fractional programming under (b;;; )-univexity ⋮ Sufficiency and duality in multiobjective fractional programming problems involving generalized type I functions ⋮ Nondifferentiable fractional semi-infinite multiobjective optimization problems ⋮ A taxonomy and review of the multi-objective fractional programming (MOFP) problems ⋮ Optimality and duality for nonsmooth multiobjective fractional programming problems involving exponential \(V\)-\(r\)-invexity ⋮ A sixth bibliography of fractional programming

Cites Work

• Necessary conditions for optimality of nondifferentiable convex multiobjective programming
• On efficiency and duality for multiobjective programs
• Refinements of necessary optimality conditions in nondifferentiable programming. I
• On generalized pseudoconvex functions
• Efficiency and generalized convex duality for multiobjective programs
• Optimality conditions and duality in subdifferentiable multiobjective fractional programming
• Vector-valued lagrangian and multiobjective fractional programming duality
• Multiobjective fractional duality
• Generalised convexity and duality in multiple objective programming
• Duality in Fractional Programming: A Unified Approach
• On optimality conditions in nondifferentiable programming
• Generalized (F, ρ)-convexity and duality for non smooth multi-objective programs
• Optimality and duality for multiobjective fractional programming involving nonsmooth($si:F$esi:ρ)–convex functions
• Duality in nonlinear fractional programming

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