Second order generalized invexity and duality in mathematical programming

DOI10.1080/02331939708844350zbMath0914.90239OpenAlexW2005053176MaRDI QIDQ4372097

Shashi Kant Mishra

Publication date: 23 June 1999

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939708844350

zbMATH Keywords

generalized convex functionsecond-order duality resultssecond-order type-I functions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Duality theory (optimization) (49N15) Convexity of real functions of several variables, generalizations (26B25)

Related Items (20)

Higher Order Hybrid Invexity Frameworks and Discrete Multiobjective Fractional Programming Problems ⋮ Hybrid (Φ,Ψ, ρ, ζ, θ)−invexity frameworks and efficiency conditions for multiobjective fractional programming problems ⋮ Second-order invex functions in nonlinear programming ⋮ Second order symmetric duality in multiobjective programming involving generalized cone-invex functions ⋮ Higher-order duality for a class of nondifferentiable multiobjective programming problems involving generalized type I and related functions ⋮ Second-order duality for nondifferentiable minimax programming involving generalized type I functions ⋮ Second-order duality for the variational problems ⋮ Second-Order Parameter-Free Duality Models in Semi-Infinite Minmax Fractional Programming ⋮ Second order duality for multiobjective programming involving \((F,\rho,\sigma)\)-type I functions. ⋮ Second order duality for nondifferentiable multiobjective programming problem involving \((F, \alpha , \rho , d)-V\)-type I functions ⋮ Optimality and duality for multiple-objective optimization under generalized type I univexity ⋮ Second Order Mixed Symmetric Duality in Non-Differentiable Multi-Objective Mathematical Programming ⋮ Second-Order Duality for Nondifferentiable Multiobjective Programming Problems ⋮ Generalized hybrid \(B-(b, \rho, \theta, \tilde{p}, \tilde{r})\)-invexities and efficiency conditions for multiobjective fractional programming ⋮ Higher order type-I α-invexity and duality in nondifferentiable mathematical programming ⋮ On nonsmooth mathematical programs with equilibrium constraints using generalized convexity ⋮ Some results on mathematical programs with equilibrium constraints ⋮ Higher-order generalized invexity and duality in mathematical programming ⋮ Higher-order generalized invexity and duality in nondifferentiable mathematical programming ⋮ First- and second-order optimality conditions for multiobjective fractional programming

Cites Work

• Generalized fractional programming duality: A parametric approach
• Optimality criteria in mathematical programming involving generalized invexity
• Optimality and duality with generalized convexity
• Proper efficiency and the theory of vector maximization
• Necessary and sufficient conditions in constrained optimization
• Fractional Programming. I, Duality
• Duality for minmax programming involvingV-invex functions

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