Symmetric duality for multiobjective programming using second order \((F,\rho)\)-convexity

DOI10.1007/BF03398778zbMath1153.90539OpenAlexW2773619896MaRDI QIDQ998707

Manjari K. Srivastava, Meetu Bhatia

Publication date: 9 February 2009

Published in: Opsearch (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03398778

zbMATH Keywords

multiobjective programmingefficient solutionproperly efficient solutionsecond order symmetric dualitysecond order \((F,\rho)\) convexity

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29)

Related Items (4)

Hybrid (Φ,Ψ, ρ, ζ, θ)−invexity frameworks and efficiency conditions for multiobjective fractional programming problems ⋮ Higher-order \((F,\alpha ,\rho ,d)\)-convexity and symmetric duality in multiobjective programming ⋮ Higher order duality in multiobjective fractional programming with support functions ⋮ Generalized hybrid \(B-(b, \rho, \theta, \tilde{p}, \tilde{r})\)-invexities and efficiency conditions for multiobjective fractional programming

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• Second order symmetric duality in mathematical programming with \(F\)-convexity
• Second order symmetric duality in multiobjective programming
• Symmetric dual nonlinear programs
• Strong and Weak Convexity of Sets and Functions
• Further Generalizations of Convexity in Mathematical Programming
• Lagrangean conditions and quasiduality

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