On Cesari's property (Q)

DOI10.1007/BF00939218zbMath0596.49010MaRDI QIDQ1078506

Nikolaos S. Papageorgiou

Publication date: 1987

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

selection theoremconvex-valued multifunctionsCesari limitCesari's property (Q)Kuratowski-Mosco limit

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60) Selections in general topology (54C65) Methods involving semicontinuity and convergence; relaxation (49J45) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Cites Work

• Unnamed Item
• Unnamed Item
• Comments on a selector theorem in Banach spaces
• Integrals of set-valued functions
• Convergence of convex sets and of solutions of variational inequalities
• A selector theorem in Banach spaces
• A note on a selector theorem in Banach spaces
• Representation of Set Valued Operators
• On the Convergence of Sequences of Convex Sets in Finite Dimensions
• Survey of Measurable Selection Theorems
• Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints. I
• Closure, Lower Closure, and Semicontinuity Theorems in Optimal Control