Stability and augmented Lagrangian duality in nonconvex semi-infinite programming

DOI10.1016/j.na.2011.08.016zbMath1279.90175OpenAlexW1971956105MaRDI QIDQ644188

Nguyen Quang Huy, Do Sang Kim

Publication date: 3 November 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.08.016

zbMATH Keywords

Lipschitz stabilitylimiting normal conesemi-infinite optimizationaugmented Lagrangian dualityexact penalty representation

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Semi-infinite programming (90C34) Duality theory for topological vector spaces (46A20)

Related Items (2)

Lipschitz behavior of solutions to nonconvex semi-infinite vector optimization problems ⋮ Augmented Lagrangian functions for cone constrained optimization: the existence of global saddle points and exact penalty property

Cites Work

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• Lipschitzian properties of multifunctions
• On Lipschitzian Stability of Optimal Solutions of Parametrized Semi-Infinite Programs
• Variational Analysis
• Convex Analysis
• Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming

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