Multifunctions and Integrands: Stochastic Analysis, Approximation, and Optimization. Proceedings of a Conference held in Catania, Italy, June 1983 (Lecture Notes in Mathematics, 1091, Band 1091) - Softcover

 
9783540138822: Multifunctions and Integrands: Stochastic Analysis, Approximation, and Optimization. Proceedings of a Conference held in Catania, Italy, June 1983 (Lecture Notes in Mathematics, 1091, Band 1091)

Inhaltsangabe

Variational systems, an introduction.- Extension of the class of Markov controls.- Limit laws for multifunctions applied to an optimization problem.- Variational properties of EPI-convergence, applications to limit analysis problems in mechanics and duality theory.- Slow and heavy viable trajectories of controlled problems. Smooth viability domains.- A new class of evolution equation in a Hilbert space.- A fixed point theorem for subsets of L1.- Modelling sets.- On a definition of ?-convergence of measures.- Strong laws of large numbers for multivalued random variables.- Approaches to weak convergence.- Critical points and evolution equations.- Decomposability as a substitute for convexity.- Multifunctions associated with parameterized classes of constrained optimization problems.- Continuity of measurable convex multifunctions.- Some bang-bang theorems.

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