Strong convergence of selections implied by weak

DOI10.1017/S0004972700002677zbMath0651.28007OpenAlexW2063979982MaRDI QIDQ3795924

Tadeusz Rzeżuchowski

Publication date: 1989

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700002677

zbMATH Keywords

strong convergenceweak convergencecontrol functionsmeasurable multifunctionsintegrable selectionsapplications to differential inclusions

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Ordinary differential inclusions (34A60) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)

Related Items (8)

From weak to strong convergence in \(L_ 1\)-spaces via \(K\)-convergence ⋮ Young measures, weak and strong convergence and the Visintin-Balder theorem ⋮ Approximation theorem for a nonlinear control system with sliding modes ⋮ Convergence of the gradient projection method in optimal control problems ⋮ Brownian motion and exposed solutions of differential inclusions ⋮ On weak convergence implying strong convergence under extremal conditions ⋮ On equivalence of strong and weak convergence in \(L_ 1\)-spaces under extreme point conditions ⋮ Truncation methods applied to problems of weak or strong convergence in \(L^ 1\)

Cites Work

• Convex analysis and measurable multifunctions
• Extremal solutions of a control system
• Strong convergence results related to strict convexity
• Unnamed Item

This page was built for publication: Strong convergence of selections implied by weak