Duality in vector optimization via augmented Lagrangian

DOI10.1016/j.jmaa.2011.07.017zbMath1231.90334OpenAlexW2082105367MaRDI QIDQ643551

Nguyen Quang Huy, Do Sang Kim

Publication date: 2 November 2011

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.2011.07.017

zbMATH Keywords

dualityaugmented Lagrangianvector optimisation

Mathematics Subject Classification ID

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

Related Items (2)

Generalized Lagrangian duality in set-valued vector optimization via abstract subdifferential ⋮ A set-valued Lagrange theorem based on a process for convex vector programming

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Conjugate duality in vector optimization and some applications to the vector variational inequality
• Theory of multiobjective optimization
• On supremum of a set in a multidimensional space
• Remarks on multifunctions with convex graph
• Conjugate duality in vector optimization
• A generalization of Fenchel duality in set-valued vector optimization
• Conjugate duality in set-valued vector optimization
• Stability and duality of nonconvex problems via augmented Lagrangian
• Conjugate dual problems in constrained set-valued optimization and applications
• Nonsmooth vector functions and continuous optimization
• Duality in Vector Optimization
• A Duality Theorem in Multiobjective Nonlinear Programming
• General duality in vector optimization
• Variational Analysis
• Conjugate Maps, Subgradients and Conjugate Duality in Set-Valued Optimization
• Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming
• Continuity properties of midconvex set-valued maps
• Duality and exact penalization for vector optimization via augmented Lagrangian

This page was built for publication: Duality in vector optimization via augmented Lagrangian