Lipschitz continuity of the optimal value function in parametric optimization

DOI10.1007/s10898-014-0169-zzbMath1342.90199OpenAlexW2081967060MaRDI QIDQ2018472

Patrick Mehlitz, Stephan Dempe

Publication date: 24 March 2015

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-014-0169-z

zbMATH Keywords

parametric optimizationBanach spaceLipschitz continuityoptimal value functionClarke subdifferentialvariational analysisinner semicontinuity

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Programming in abstract spaces (90C48)

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• Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
• First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
• New necessary optimality conditions in optimistic bilevel programming
• Set-valued analysis

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