Different conjugate dual problems in vector optimization and their relations

DOI10.1007/s10957-008-9462-7zbMath1169.90019OpenAlexW2035124549MaRDI QIDQ1016414

Sheng Jie Li, Chun-Rong Chen

Publication date: 5 May 2009

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-008-9462-7

zbMATH Keywords

vector optimizationconjugate mapDual problem

Mathematics Subject Classification ID

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

Related Items (3)

Lagrange duality, stability and subdifferentials in vector optimization ⋮ Conjugate Duality in Constrained Set-Valued Vector Optimization Problems ⋮ Gap functions for generalized vector equilibrium problems via conjugate duality and applications

Cites Work

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• Strong duality for generalized convex optimization problems
• Theory of multiobjective optimization
• On supremum of a set in a multidimensional space
• Conjugate maps and duality in multiobjective optimization
• Conjugate duality in vector optimization
• A generalization of Fenchel duality in set-valued vector optimization
• Conjugate duality in set-valued vector optimization
• Conjugate Relations and Weak Subdifferentials of Relations
• A Duality Theorem in Multiobjective Nonlinear Programming
• An Existence Theorem in Vector Optimization
• An analysis of some dual problems in multiobjective optimization (I)
• Convex Analysis

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