On Control-Approximation Problems in Hilbert Spaces and Related Dual Problems: Subdifferentiability Properties and Estimates

DOI10.1002/ZAMM.19830630106zbMath0519.49014OpenAlexW2019588585MaRDI QIDQ3668366

Siegfried Dietze

Publication date: 1983

Published in: ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19830630106

zbMATH Keywords

dual problemsabstract control-approximation problemssubdifferentiability of cost functionals

Mathematics Subject Classification ID

Convex programming (90C25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Duality theory (optimization) (49N15) Existence theories for problems in abstract spaces (49J27) Methods of successive quadratic programming type (90C55) Inner product spaces and their generalizations, Hilbert spaces (46C99) Optimality conditions for problems in abstract spaces (49K27) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items (1)

An example for the Regula-falsi method with an asymptotic cycle

Cites Work

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• Abschätzungen bei Variationsmethoden mit Hilfe von Dualitätssätzen. I
• Steuer-appro ximationsprobleme und fenchel-rock afellar - dualität
• On the differentiability in dual optimal control problems
• Anwendung der dualitatstheorie auf probleme der optimalen steuerung

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