Convex Analysis and Its Applications Proceedings of a Conference Hel
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144 Convex Analysis and Its Applications Proceedings of a Conference Held at Muret-Ie-Quaire, March 1976
Edited by A. Auslender
Spri nger-Verlag Berl in· Heidel berg . New York 1977
Editorial Board H. Albach· A. V. Balakrishnan· M. Beckmann (Managing Editor) P. Dhrymes . J. Green· W. Hildenbrand· W. Krelle H. P. Kunzi (Managing Editor) . K. Ritter· R. Sato . H. Schelbert P. Schonfeld
Managing Editors Prof. Dr. M. Beckmann Brown University Providence, RI 02912/USA
Prof. Dr. H. P. Kunzi Universitat Zurich 8090 Zurich/Schweiz
Editor Alfred Auslender Universite de Clermont II Complexe Scientifique des Cezeaux Department de Mathematiques Appliquees Boite Postale n° 45 63170 Au biere/France
Library of Congress Cataloging in Publication Data
Main entry under title: Convex
an~sis
and its applications.
(Lecture notes in economics and mathematical systems
144)
1. Programming (Mathematics)--Congresses. 2. Programming (Mathematics )--Congresses. 3. Convex functions--Congresses. 1. Auslender, Alfred. II. Se-
ries. Q.A402.5.c657
519·7
77-7374
AMS Subject Classifications (1970): 49AXX, 49BXX, 90CXX, 49DXX, 65K05 ISBN- 13: 978-3-540-08149-4 DOl: 10.1007/978-3-642-48298-4
e-ISBN- 13: 978-3-642-48298-4
This work is subject to copyright. All rights 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 the publisher, the amount of th~ fee to be determined by agreement with the publisher. © by Springer-Verlag Berlin· Heidelberg 1977 Softcover reprint of the hardcover 1st edition 1977
2142/3140-543210
FOR E W0 R D
This volume contains the lectures presented during the meeting on Convex Analysis which took place at Murat-le-Quaire, 1 - 6 March 1976. The meeting was intended to provide an account of the recent research done in French universities in this field.
A. AUSLENDER
TABLE OF CONTENTS
- M. ATTEIA et J. AUDDUNET Noyaux des sous-espaces de Banach reflexif d'un espace localement convexe - B. CORNET An abstract theorem for planning procedures
53
- P. CHARRIER, B. HANDUZET et J.L. JOLY
61
Estimation and regularity for the maximum lower solution of a unilateral problem - J.P. CROUZEIX Conjugacy in quasiconvex analysis
66
- O. DEBORDES Duality: some results in asymptotical elastoplasticity
100
- R. JANIN Sensitivity for non convex optimization problems
115
- P.J. LAURENT et C. CARASSD A dual algorithm in quasi-convex optimization
120
MaSSINO Etude d'une inequation quasi-variationnelle apparaissant en physique
- J.
- M.F. NOUGUES - SAINTE-BEUVE Vector measures with bounded variation property and some applications
139
158
a topological
- G. OWEN Computation of equilibrium price and quantity vectors
170
- J. SAINT-PIERRE
180
Borel convex-valued multifunctions - R.J.B. WETS
On the convergence of random co
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