Vector versions of a density theorem and applications to problems of control theory

DOI10.1016/0022-247X(83)90114-2zbMath0533.49029MaRDI QIDQ789721

Van Chu'o'ng Phan

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

extreme pointsdensity theoremmeasurable selectionmeasurable multifunctions

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60) Variational problems in a geometric measure-theoretic setting (49Q20) Selections in general topology (54C65) Methods involving semicontinuity and convergence; relaxation (49J45) Measures and integration on abstract linear spaces (46G12) Multiobjective variational problems, Pareto optimality, applications to economics, etc. (58E17)

Cites Work

• Unnamed Item
• Convex analysis and measurable multifunctions
• Some topological properties of vector measures with bounded variation and its applications
• Sur le contrôle optimal de systèmes gouvernés par des équations élliptiques. (On optimal control of systems gouverned by elliptic equations.)
• Intégrandes normales et mesures paramétrées en calcul des variations
• Sur la généralisation de la notion de commande d'un système guidable
• Functions of Relaxed Controls
• CONVEXITY OF VALUES OF VECTOR INTEGRALS, THEOREMS ON MEASURABLE CHOICE AND VARIATIONAL PROBLEMS

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