Integral of a convex-hull-valued function

DOI10.1016/0022-247X(75)90009-8zbMath0299.28004MaRDI QIDQ1215038

Daniel H. Wagner

Publication date: 1975

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

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Vector-valued set functions, measures and integrals (28B05)

Related Items

A unified approach to several results involving integrals of multifunctions, Approximating the integral of a multifunction, Existence for a nonconvex optimal control problem with nonlinear dynamics, Optimal control of stochastic sequences with constraints, Integral of a set-valued function with semi-closed values, Multivalued mappings

Cites Work

• Integrals of set-valued functions
• Multi-applications mesurables à valeurs convexes compactes
• Measurable dependence of convex sets and functions on parameters
• Relations among certain ranges of vector measures
• Sur les multi-applications mesurables
• Necessity and Existence Results on Constrained Optimization of Separable Functionals by a Multiplier Rule
• The Range of Certain Vector Integrals
• Extreme Points of Vector Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item