On generalized Fenchel-Moreau theorem and second-order characterization for convex vector functions

DOI10.1186/1687-1812-2013-328zbMath1296.49019OpenAlexW2125949135WikidataQ59300506 ScholiaQ59300506MaRDI QIDQ402526

Do Sang Kim, Phan Nhat Tinh

Publication date: 28 August 2014

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-328

zbMATH Keywords

monotonicitybiconjugate mapconvex vector functionFenchel-Moreau theoremsecond-order characterization

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)

Cites Work

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• A Duality Theorem in Multiobjective Nonlinear Programming
• Optimization and nonsmooth analysis
• On conjugate maps and directional derivatives of convex vector functions

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