Minimax fractional programming for \(n\)-set functions and mixed-type duality under generalized Invexity

DOI10.1007/s10957-008-9410-6zbMath1189.90191OpenAlexW2019565848MaRDI QIDQ1014021

Hang-Chin Lai, Tone-Yau Huang

Publication date: 24 April 2009

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

Full work available at URL: https://doi.org/10.1007/s10957-008-9410-6

zbMATH Keywords

duality theoremsminimax fractional programmingmixed-type dualpartial differentiable \(n\)-set functionpseudo-invex set functionquasi-invex set function

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Optimality conditions and duality in mathematical programming (90C46) Fractional programming (90C32)

Related Items (4)

Mixed-Type Duality on Nonsmooth Minimax Fractional Programming Involving Exponential (p, r)-Invexity ⋮ Optimality conditions for multiple objective fractional subset programming with \((\rho,\sigma,\theta )\)-type-I and related non-convex functions ⋮ 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

Cites Work

• Unnamed Item
• Optimization theory for n-set functions
• Optimal constrained selection of a measurable subset
• Duality in mathematical programming of set functions: On Fenchel duality theorem
• Optimization theory for set functions in nondifferentiable fractional programming with mixed type duality
• Moreau-Rockafellar type theorem for convex set functions
• Duality for a minimax programming problem containing \(n\)-set functions
• Necessary and sufficient conditions for minimax fractional programming
• Duality without a constraint qualification for minimax fractional programming
• Optimality conditions for multiobjective programming with generalized \(({\mathfrak J},\rho,\theta)\)-convex set functions
• Duality for minmax \(B\)-vex programming involving \(n\)-set functions
• Parameter-free dual models for fractional programming with generalized invexity
• On minimax fractional programming of generalized convex set functions
• Duality for generalized fractional programs involving n-set functions
• Sufficiency and duality of fractional integral programming with generalized invexity
• The Fenchel-Moreau Theorem for Set Functions
• A duality theorem for non-linear programming
• Saddle point and duality in the optimization theory of convex set functions
• Oil minmax programming problems containing n-set functions
• Minimax fractional programming involving generalised invex functions
• On mixed duality in mathematical programming.

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