Higher-order \((F,\alpha ,\rho ,d)\)-convexity and symmetric duality in multiobjective programming

DOI10.1016/j.camwa.2010.08.031zbMath1205.90261OpenAlexW2057664603MaRDI QIDQ623181

N. Kailey, Shiv K. Gupta, Mahesh K. Sharma

Publication date: 13 February 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.08.031

zbMATH Keywords

duality theoremshigher-order symmetric dualitycone constraints

Mathematics Subject Classification ID

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

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Cites Work

• Unnamed Item
• Higher order symmetric duality in nondifferentiable multi-objective programming problems involving generalized cone convex functions
• Second-order symmetric duality with cone constraints
• Optimality and duality in nondifferentiable multiobjective mathematical programming involving higher order \((F,\alpha,\rho,d)\)-type I functions
• Multiobjective mixed symmetric duality involving cones
• Symmetric duality for multiobjective programming using second order \((F,\rho)\)-convexity
• Second- and higher-order duality in nonlinear programming
• Higher-order symmetric duality in nondifferentiable multiobjective programming problems.
• Efficiency conditions and duality for a class of multiobjective fractional programming problems
• Multiobjective second-order symmetric duality with \(F\)-convexity
• Multiobjective symmetric duality involving cones
• Second order symmetric duality in multiobjective programming
• On multiobjective second order symmetric duality with cone constraints
• Second order symmetric duality with generalized convexity.
• Second order \((F, \alpha , \rho , d)\)-convexity and duality in multiobjective programming
• Multiobjective symmetric duality with invexity
• Higher-Order Duality in Nondifferentiable Multiobjective Programming