Multifunctions and Integrands Stochastic Analysis, Approximation and
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1091 Multifunctions and Integrands Stochastic Analysis, Approximation and Optimization Proceedings of a Conference held in Catania, Italy, June 7-16, 1983
Edited by G. Salinetti
Springer-Verlag Berlin Heidelberg New York Tokyo 1984
Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann
1091 Multifunctions and Integrands Stochastic Analysis, Approximation and Optimization Proceedings of a Conference held in Catania, Italy, June 7-16, 1983
Edited by G. Salinetti
Springer-Verlag Berlin Heidelberg New York Tokyo 1984
Editor
Gabriella Salinetti Dipartimento di Statistica, Probabilita e Statistic he Applicate Universita di Roma "La Sapienza" 00100 Roma - Italy
AMS Subject Classification (1980): 50-XX, 49-XX, 93EXX, 52A22, 28-XX ISBN 3-540-13882-X Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-13882-X Springer-Verlag New York Heidelberg Berlin Tokyo Library of Congress Cataloging in Publication Data. Main entry under title: Multifunctions and integrands. (Lecture notes in mathematics; 1091) Sponsored jointly by the Dipartimento di statistics, probabilita e statistiche applicate of the Universita "La Sapienza" di Roma and the Seminario matematico, Universita di Catania. Bibliography: p.1. Stochastic analysis-Congresses. 2. Approximation theory-Congresses. 3. Mathematical optimization-Congresses. I. Salinetti, G. (Gabriella), 1946-. II. Universita degli studi di Roma "La Sapienza": Dipartimento di statistica, probabilita e statistiche applicate. III. Universita di Catania. Seminario matematico. IV. Series: Lecture notes in mathematics (Springer-Verlag); 1091. 0A3.L28 no. 1091 510 s 84-23565 [0A274.2J [519.2J ISBN 0-387-13882-X (U.S.) This work IS subject to copyright. All nghts are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich.
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PREFACE
This publication presents the Broceedings of the international conference on "MULTIFUNCTIONS AND INTEnRANDS: Stochastic Analysis, Approximation and Optimization" held in Catania, Italy, in June 1983 under the scientific direction of R.T. Rockafellar, M. Valadier and G. Sal.Lnet t.L, The purpose of the conference
was
to
survey
the current state of the
art, report on recent progress and delineate further directions of research with special attention to applications. Modern applications in statistics, probability, operation research, physics and economics have
focused
attention on situations and rrathematical mode'ls
where solutions are not necessarily unique, feasible sets depend - often measurably - on parameters, perturbations play a crucial role, functions have lost their "traditiona
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