On multiobjective nonlinear programming with support functions

DOI10.1515/JAA.2010.012zbMath1276.90068OpenAlexW2022750063MaRDI QIDQ2865564

I. Husain, Aquil Ahmed, Rumana Gulzar Mattoo

Publication date: 2 December 2013

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.2010.012

zbMATH Keywords

invexitygeneralized invexitysupport functionMond-Weir dualmultiobjective programming problemWolfe dualspecial cases

Mathematics Subject Classification ID

Convex programming (90C25) Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Duality theory (optimization) (49N15)

Related Items (3)

Vector optimization over cones involving support functions using generalized \((\Phi,\rho)\)-convexity ⋮ Higher-order duality for multiobjective optimization problems containing support functions over cones ⋮ Higher order duality for cone vector optimization problems

Cites Work

• Duality theorem of nondifferentiable convex multiobjective programming
• A class of nondifferentiable continuous programming problems
• Necessary conditions for optimality of nondifferentiable convex multiobjective programming
• On nonlinear programming with support functions
• Proper efficiency and the theory of vector maximization
• A class of nonconvex functions and mathematical programming
• Generalised convexity and duality in multiple objective programming
• Lagrangean conditions and quasiduality
• Non differentiable symmetric duality

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