Multifunctions and integrands : stochastic analysis, approximation and optimization : proceedings of a conference held in Catania, Italy, June 7-16, 1983

Bibliographic Information

Multifunctions and integrands : stochastic analysis, approximation and optimization : proceedings of a conference held in Catania, Italy, June 7-16, 1983

edited by G. Salinetti

(Lecture notes in mathematics, 1091)

Springer-Verlag, 1984

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Note

Sponsored jointly by the Dipartimento di statistica, probabilitàe statistiche applicate of the Università "La Sapienza" di Roma and the Seminario matematico, Università di Catania

Bibliography: p. 233-234

Description and Table of Contents

Table of Contents

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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