Optimality conditions and duality for a class of nondifferentiable multi-objective fractional programming problems

DOI10.1007/s10898-006-9103-3zbMath1145.90065OpenAlexW2091972914MaRDI QIDQ2465491

Sanming Liu, En-Min Feng

Publication date: 4 January 2008

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-006-9103-3

zbMATH Keywords

DualityGeneralized convex functionsOptimality conditionsMulti-objective fractional programmingSublinear functions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Fractional programming (90C32)

Related Items (7)

Optimality conditions and duality for nondifferentiable multiobjective fractional programming problems with \((C,\alpha ,\rho ,d)\)-convexity ⋮ A class of nonsmooth fractional multiobjective optimization problems ⋮ Parametric nondifferentiable multiobjective fractional programming under (b;;; )-univexity ⋮ A taxonomy and review of the multi-objective fractional programming (MOFP) problems ⋮ Optimality and duality results for \(E\)-differentiable multiobjective fractional programming problems under \(E\)-convexity ⋮ Optimality and duality for nonsmooth multiobjective fractional programming problems involving exponential \(V\)-\(r\)-invexity ⋮ First- and second-order optimality conditions for multiobjective fractional programming

Cites Work

• Unnamed Item
• Unnamed Item
• Duality in vector optimization in Banach spaces with generalized convexity
• Optimality and duality in nondifferentiable and multiobjective programming under generalized \(d\)-invexity
• Equivalence of saddle-points and optima, and duality for a class of non- smooth non-convex problems
• On sufficiency of the Kuhn-Tucker conditions
• Necessary conditions for optimality of nondifferentiable convex multiobjective programming
• On efficiency and duality for multiobjective programs
• Optimality conditions and duality in subdifferentiable multiobjective fractional programming
• Nondifferentiable minimax fractional programming under generalized univexity
• Efficiency conditions and duality for a class of multiobjective fractional programming problems
• Optimality and duality in nonsmooth multiobjective optimization involving generalized type I functions
• Optimality and duality for the multiobjective fractional programming with the generalized \((F,\rho)\) convexity.
• Nondifferentiable multiobjective programming under generalized \(d\)-univexity
• Multiobjective fractional programming under generalized invexity
• Vector-valued lagrangian and multiobjective fractional programming duality
• Optimization and nonsmooth analysis
• A duality theorem for a multiple objective fractional optimization problem
• Multiobjective fractional duality
• A survey of recent[1985-1995advances in generalized convexity with applications to duality theory and optimality conditions]
• Optimality and Duality for Invex Nonsmooth Multiobjective programming problems
• Optimality and duality for multiobjective fractional programming involving nonsmooth($si:F$esi:ρ)–convex functions
• Optimality and duality for multiobjective fractional programming involving nonsmooth pseudoinvex functions
• Optimality and duality for nonsmooth multiobjective fractional programming with generalized invexity
• Optimality conditions and duality for a class of nonlinear fractional programming problems.

This page was built for publication: Optimality conditions and duality for a class of nondifferentiable multi-objective fractional programming problems