Saddle points and gap functions for vector equilibrium problems via conjugate duality in vector optimization

DOI10.1016/j.jmaa.2008.02.009zbMath1160.90002OpenAlexW1980518765MaRDI QIDQ924222

S. F. Yao, Chun-Rong Chen, Sheng Jie Li

Publication date: 15 May 2008

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.2008.02.009

zbMATH Keywords

vector optimizationsaddle pointinclusion relationsconjugate dualitygap function

Mathematics Subject Classification ID

Quadratic programming (90C20) Optimality conditions and duality in mathematical programming (90C46)

Related Items (3)

A method of duality for a mixed vector equilibrium problem ⋮ Derivatives of set-valued maps and gap functions for vector equilibrium problems ⋮ Gap functions for generalized vector equilibrium problems via conjugate duality and applications

Cites Work

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• 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
• Vector equilibrium problems with generalized monotone bifunctions
• Conjugate duality in set-valued vector optimization
• New constraint qualification and conjugate duality for composed convex optimization problems

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