Duality and penalization in optimization via an augmented Lagrangian function with applications
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Publication:1024250
DOI10.1007/s10957-008-9455-6zbMath1182.90097OpenAlexW2017727320MaRDI QIDQ1024250
Publication date: 16 June 2009
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-008-9455-6
reflexive Banach spacezero duality gapexact penalty functionvalley-at-0 augmented Lagrangian function
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Generalized Lagrangian duality in set-valued vector optimization via abstract subdifferential ⋮ Duality and exact penalization for general augmented Lagrangians ⋮ Existence of augmented Lagrange multipliers: reduction to exact penalty functions and localization principle ⋮ An inexact modified subgradient algorithm for primal-dual problems via augmented Lagrangians ⋮ Augmented Lagrangian functions for constrained optimization problems ⋮ Existence of augmented Lagrange multipliers for cone constrained optimization problems ⋮ The exact penalty map for nonsmooth and nonconvex optimization ⋮ Nonlinear separation in the image space with applications to penalty methods
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