Optimality conditions and duality for nondifferentiable multiobjective fractional programming problems with \((C,\alpha ,\rho ,d)\)-convexity

DOI10.1007/s10957-010-9740-zzbMath1229.90258OpenAlexW2062360657MaRDI QIDQ630011

Juan-Miguel Gracia

Publication date: 10 March 2011

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-010-9740-z

zbMATH Keywords

weak and strong dualityweakly efficient solutionsufficient optimality condition\((C, \alpha, \rho,d)\)-convexitynondifferentiable multi-objective fractional programming

Mathematics Subject Classification ID

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

Related Items (21)

Optimality and duality results for a nondifferentiable multiobjective fractional programming problem ⋮ Higher order duality in multiobjective fractional programming with square root term under generalized higher order \((F, \alpha, \beta, \rho, \sigma, d)\)-V-type I univex functions ⋮ On fractional vector optimization over cones with support functions ⋮ Robust optimality, duality and saddle points for multiobjective fractional semi-infinite optimization with uncertain data ⋮ Multiobjective programming with new invexities ⋮ Sufficiency and duality for nonsmooth multiobjective fractional programming problems involving \((\Phi,\rho,\alpha)\)-\(V\)-invexity ⋮ Higher order duality of multiobjective constrained ratio optimization problems ⋮ Semistrict \(G\)-preinvexity and optimality in nonlinear programming ⋮ Optimality and duality for minimax fractional programming with support function under \((C, \alpha, \rho, d)\)-convexity ⋮ On a nonsmooth vector optimization problem with generalized cone invexity ⋮ Robust optimality conditions and duality for nonsmooth multiobjective fractional semi-infinite programming problems with uncertain data ⋮ Optimality conditions for generalized convex nonsmooth uncertain multi-objective fractional programming ⋮ Multiobjective program with support functions under \((G,C,\rho)\)-convexity assumptions ⋮ A class of nonsmooth fractional multiobjective optimization problems ⋮ Multiobjective programming problems with \((G,C,\rho)\)-convexity ⋮ On second-order duality for a class of nondifferentiable minimax fractional programming problem with \((C,\alpha,\rho,d)\)-convexity ⋮ Unnamed Item ⋮ Multiobjective fractional symmetric duality in mathematical programming with \((C,G_f)\)-invexity assumptions ⋮ On robust approximate optimal solutions for fractional semi-infinite optimization with uncertainty data ⋮ Optimality and duality results for \(E\)-differentiable multiobjective fractional programming problems under \(E\)-convexity ⋮ On duality for a second-order multiobjective fractional programming problem involving type-I functions

Cites Work

• Unnamed Item
• Optimality conditions, duality and saddle points for nondifferentiable multiobjective fractional programs
• On efficiency and duality for multiobjective programs
• Nonsmooth multiobjective programs with \(V\)-\(\rho\)-invexity
• Optimality conditions and duality in subdifferentiable multiobjective fractional programming
• Efficiency conditions and duality for a class of multiobjective fractional programming problems
• Duality for a class of nondifferentiable multiobjective programming problems
• Optimality and duality for a class of nondifferentiable multiobjective fractional programming problems
• Nondifferentiable minimax fractional programming problems with \((C, \alpha, \rho, d)\)-convexity
• Optimality conditions and duality for a class of nondifferentiable multi-objective fractional programming problems
• Optimality conditions and duality for nondifferentiable multiobjective fractional programming with generalized convexity
• Vector-valued lagrangian and multiobjective fractional programming duality
• A Dual For A Multiple Objective Fractional Programming Problem
• Non differentiable symmetric duality
• 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
• Generalized convex duality for multiobjective fractional programs
• 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 nondifferentiable multiobjective fractional programming problems with \((C,\alpha ,\rho ,d)\)-convexity