Generalized type I invexity and duality in multiobjective variational problems

DOI10.1016/j.jmaa.2005.02.018zbMath1076.49016OpenAlexW2089470427MaRDI QIDQ557005

Myung Hee Kim, Do Sang Kim

Publication date: 23 June 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.02.018

zbMATH Keywords

dualityinvexitymultiobjective variational problems

Mathematics Subject Classification ID

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

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Cites Work

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• On sufficiency of the Kuhn-Tucker conditions
• Duality for multiobjective variational problems
• Optimality criteria and duality in multiple-objective optimization involving generalized invexity
• On efficiency and duality for multiobjective variational problems
• Duality for multiobjective fractional variational problems with generalized invexity.
• Proper efficiency and the theory of vector maximization
• Necessary and sufficient conditions in constrained optimization
• Proper Efficiency and Multiobjective Duality in Nonlinear Programming
• Duality for a Class of Nondifferentiable Multiple Objective Programming Problems
• A duality theorem for non-linear programming
• Invex functions and constrained local minima
• On generalised convex mathematical programming
• Duality for Multiobjective Variational Problems With Pseudo-Invexity
• Multiobjective programming under generalized type I invexity