Seminormal Functions in Optimization Theory

Balder, E. J.

doi:10.1007/978-3-662-12603-5_15

Seminormal Functions in Optimization Theory

E. J. Balder^6,7

Conference paper

89 Accesses

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 255))

Abstract

Let (X,d) be a metric space and let (V,P,<·,·>) be a pair of locally convex spaces, paired by a strict duality.

This is a preview of subscription content, log in via an institution.

Chapter: USD 29.95; Price excludes VAT (USA)

eBook: USD 39.99; Price excludes VAT (USA)

Softcover Book: USD 54.99; Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

References

Balder, E.J. (1983). On Seminormality of Integral Functionals and Their Integrands, Preprint No. 302, Mathematical Institute, Utrecht. To appear in SIAM J. Control Optim.
Google Scholar
Balder, E.J. (1984). A general approach to lower semicontinuity and lower
Google Scholar
closure in optimal control theory. SIAM J. Control Optim. 22:570–598. Brooks, J.K. and Chacon, R.V. (1980). Continuity and compactness of mea-
Google Scholar
sures. Adv. Math. 37: 16–26.
Google Scholar
Castaing, C., and Valadier, M. (1977). Convex Analysis and Measurable Multifunctions. Springer-Verlag, Berlin.
Book Google Scholar
Cesari, L. (1966). Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints. I. Trans. Amer. Math. Soc. 124: 369–412.
Google Scholar
Cesari, L. (1970). Seminormality and upper semicontinuity in optimal control. J. Optim. Theory Appl. 6: 114–137.
Google Scholar
Cesari, L. (1983). Optimization-Theory and Applications. Springer-Verlag, Berlin.
Book Google Scholar
Clarke, F.H. (1975). Generalized gradients and applications. Trans. Amer. Math. Soc. 205: 247–262.
Google Scholar
McShane, E.J. (1934). Existence theorems for ordinary problems of the calculus of variations. Ann. Scuola Norm. Sup. Pisa (2) 3: 181–211, 287315.
Google Scholar
Tonelli, L. (1921). Fondamenti di Calcolo delle Variazioni. Zanichelli, Bologna.
Google Scholar

Download references

Author information

Authors and Affiliations

Mathematical Institute, University of Utrecht, 3508 TA, Utrecht, The Netherlands
E. J. Balder
Department of Statistics and Probability, Michigan State University, East Lansing, MI, 48824, USA
E. J. Balder

Authors

E. J. Balder
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

International Institute for Applied Systems Analysis, Schlossplatz 1, A-2361, Laxenburg, Austria
Vladimir F. Demyanov
Applied Mathematical Department, Leningrad University, Leningrad, USSR
Vladimir F. Demyanov
Institut für Statistik und Mathematische Wirtschaftstheorie, Universität Karlsruhe, Postfach 6380, D-7500, Karlsruhe 1, Germany
Diethard Pallaschke

Rights and permissions

Reprints and permissions

Copyright information

About this paper

Cite this paper

Balder, E.J. (1985). Seminormal Functions in Optimization Theory. In: Demyanov, V.F., Pallaschke, D. (eds) Nondifferentiable Optimization: Motivations and Applications. Lecture Notes in Economics and Mathematical Systems, vol 255. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12603-5_15

Download citation

DOI: https://doi.org/10.1007/978-3-662-12603-5_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15979-7
Online ISBN: 978-3-662-12603-5
eBook Packages: Springer Book Archive

Publish with us

Policies and ethics