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Multifunctions and Integrands: Stochastic Analysis, Approximation and Optimization Proceedings of a Conference held in Catania, Italy, June 7–16, 1983

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Author(s): R. T. Rockafellar, Roger J -B. Wets (auth.), Gabriella Salinetti (eds.)
Series: Lecture Notes in Mathematics 1091
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1984

Language: English
Pages: 240
City: Berlin; New York
Tags: Probability Theory and Stochastic Processes; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization

Variational systems, an introduction....Pages 1-54
Extension of the class of Markov controls....Pages 55-65
Limit laws for multifunctions applied to an optimization problem....Pages 66-79
Variational properties of EPI-convergence, applications to limit analysis problems in mechanics and duality theory....Pages 80-104
Slow and heavy viable trajectories of controlled problems. Smooth viability domains....Pages 105-116
A new class of evolution equation in a Hilbert space....Pages 117-128
A fixed point theorem for subsets of L 1 ....Pages 129-137
Modelling sets....Pages 138-149
On a definition of Γ-convergence of measures....Pages 150-159
Strong laws of large numbers for multivalued random variables....Pages 160-172
Approaches to weak convergence....Pages 173-183
Critical points and evolution equations....Pages 184-192
Decomposability as a substitute for convexity....Pages 193-205
Multifunctions associated with parameterized classes of constrained optimization problems....Pages 206-215
Continuity of measurable convex multifunctions....Pages 216-224
Some bang-bang theorems....Pages 225-234