Nonconvex duality

Ivar Ekeland

Mémoires de la Société Mathématique de France (1979)

  • Volume: 60, page 45-55
  • ISSN: 0249-633X

How to cite

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Ekeland, Ivar. "Nonconvex duality." Mémoires de la Société Mathématique de France 60 (1979): 45-55. <http://eudml.org/doc/94803>.

@article{Ekeland1979,
author = {Ekeland, Ivar},
journal = {Mémoires de la Société Mathématique de France},
keywords = {legendre transform; extremization problem; dual extremization problem},
language = {eng},
pages = {45-55},
publisher = {Société mathématique de France},
title = {Nonconvex duality},
url = {http://eudml.org/doc/94803},
volume = {60},
year = {1979},
}

TY - JOUR
AU - Ekeland, Ivar
TI - Nonconvex duality
JO - Mémoires de la Société Mathématique de France
PY - 1979
PB - Société mathématique de France
VL - 60
SP - 45
EP - 55
LA - eng
KW - legendre transform; extremization problem; dual extremization problem
UR - http://eudml.org/doc/94803
ER -

References

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  1. [1] I. EKELAND : "On the variational principle". J. Math. An. Appl. 47 (1974) p.324-353. Zbl0286.49015MR49 #11344
  2. [2] I. EKELAND and R. TEMAM : "Convex analysis and variational problems". North-Holland - Elsevier, 1976. Zbl0322.90046MR57 #3931b
  3. [3] I. EKELAND : "Duality in non-convex optimization and the calculus of variations". SIAM J. Opt. Control, 15 (1977), p. 905-934. Zbl0377.90089MR56 #16681
  4. [4] J.F. TOLAND : "Duality in non-convex optimisation", University of Essex ; Fluid Mechanics Research Institute, Report n° 78, Decembre 1976. 
  5. [5] J.F. TOLAND : "On the stability of rotating heavy chains". University of Essex, Fluid Mechanics Research Institute, Report N° 82, May 1977. Zbl0372.49016
  6. [6] R. T. ROCKAFELLAR : "Convex analysis", Princeton University Press, 1970. Zbl0193.18401MR43 #445
  7. [7] F. CLARKE : "Generalized gradients and applications", Transactions AMS 205, 1975, p.247-262. Zbl0307.26012MR51 #3373
  8. [8] F. CLARKE : "Generalized gradients of Lipschitz functionals", Mathematics of Operations Research, to appear. Zbl0463.49017

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