Existence and stability of exact penalty for optimization problems with mixed constraints

DOI10.1016/j.na.2009.01.217zbMath1166.49031OpenAlexW2010733898MaRDI QIDQ923964

Zaslavski, Alexander J.

Publication date: 24 July 2009

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.2009.01.217

zbMATH Keywords

minimization problempenalty functionEkeland's variational principleClarke's generalized gradient

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30)

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Cites Work

• Existence of exact penalty for optimization problems with mixed constraints in Banach spaces
• Existence of exact penalty and its stability for nonconvex constrained optimization problems in Banach spaces
• On the variational principle
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• Stability of exact penalty for classes of constrained minimization problems in Banach spaces
• Lusternik-Schnirelman theory on Banach manifolds
• Exact penalty functions in nonlinear programming
• An Exact Penalization Viewpoint of Constrained Optimization
• Variational Analysis
• Exact Penalty Functions in Constrained Optimization
• Survey of penalty, exact-penalty and multiplier methods from 1968 to 1993
• A Sufficient Condition for Exact Penalty in Constrained Optimization
• Non-Linear Programming Via Penalty Functions
• Critical points of Lipschitz functions on smooth manifolds
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