Generalized Lagrangian duality in set-valued vector optimization via abstract subdifferential

DOI10.1007/s10255-022-1079-3OpenAlexW4226391401MaRDI QIDQ2125653

Siqi Wang, Yan-Fei Chai, San-Yang Liu

Publication date: 14 April 2022

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-022-1079-3

zbMATH Keywords

exact penalizationabstract subdifferentialgeneralized augmented Lagrangian dualitynonconvex set-valued vector optimizationsub-optimal path

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46)

Cites Work

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• Variational Analysis
• The Strictly Efficient Subgradient of Set-Valued Optimisation
• Set-valued Optimization
• The Zero Duality Gap Property and Lower Semicontinuity of the Perturbation Function
• A Unified Augmented Lagrangian Approach to Duality and Exact Penalization
• Duality and exact penalization for vector optimization via augmented Lagrangian

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