Problèmes d'optimisation dépendant d'un paramètre à valeurs dans un espace de Banach

G. Lebourg

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1978-1979)

  • page 1-15

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Lebourg, G.. "Problèmes d'optimisation dépendant d'un paramètre à valeurs dans un espace de Banach." Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1978-1979): 1-15. <http://eudml.org/doc/109195>.

@article{Lebourg1978-1979,
author = {Lebourg, G.},
journal = {Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")},
keywords = {optimization problems; reflexive Banach space; necessary condition of optimality; perturbations; semi-continuous functions; generalized derivatives},
language = {fre},
pages = {1-15},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Problèmes d'optimisation dépendant d'un paramètre à valeurs dans un espace de Banach},
url = {http://eudml.org/doc/109195},
year = {1978-1979},
}

TY - JOUR
AU - Lebourg, G.
TI - Problèmes d'optimisation dépendant d'un paramètre à valeurs dans un espace de Banach
JO - Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
PY - 1978-1979
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 15
LA - fre
KW - optimization problems; reflexive Banach space; necessary condition of optimality; perturbations; semi-continuous functions; generalized derivatives
UR - http://eudml.org/doc/109195
ER -

References

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  1. [1] E. Asplund, Farthest points in locally uniformly rotund Banach spaces, Israel J. Math.4 (1966) 213-216. Zbl0143.34904MR206662
  2. [2] J. Baranger and R. Temam, Nonconvex optimization problems depending on a parameter, SIAM J. Control13 (1974). Zbl0302.49003MR430901
  3. [3] J.M. Borwein, Weak local supportability, generic Gâteaux differentiability and applications to approximation in a weakly compactly generated space, Dalhousie University, September 1977. 
  4. [4] F.H. Clarke, A new approach to Lagrange multipliers, Math. of operations research, May 1976 vol. 1 No 2. Zbl0404.90100MR414104
  5. [5] J. Diestel, Geometry of Banach spaces, Lecture Notes in Math. vol. 485, Springer Verlag, 1975. Zbl0307.46009MR461094
  6. [6] M. Edelstein, Farthest points of sets in uniformly convex Banach spaces, Israel J. Math.4 (1966) 171-176. Zbl0151.17601MR203426
  7. [7] M. Edelstein, On nearest points of sets in uniformly convex Banach spaces, J. London Math. Soc.43 (1968) 375-377. Zbl0183.40403MR226364
  8. [8] I. Ekeland, On the variational principle, J. Math. Anal. Appl.47 (1974) 324-353. Zbl0286.49015MR346619
  9. [9] I. Ekeland and G. Lebourg, Generic Fréchet-differentiablity and perturbed optimization problems in Banach spaces, Trans. A.M.S.224 No 2 (1976). Zbl0313.46017MR431253
  10. [10] G. Lebourg, Differentiability of locally lipschitzian functions, (to appear) . Zbl0435.46031
  11. [11] R.R. Phelps, Dentability and extreme points in Banach spaces, J. of Funct. Analysis16 (1974) 79-80. Zbl0287.46026MR352941
  12. [12] I. Namioka and R.R. Phelps, Banach spaces which are Asplund spaces, Duke Math. J. Vol. 42 No 4 (1975). Zbl0332.46013MR390721
  13. [13] R.T. Rockafellar, Generalized directional derivatives and subgradients of nonconvex functions, (to appear). Zbl0447.49009MR571922
  14. [14] R.T. Rockafellar, Directionally lipschitzian functions and subdifferential calculus, (to appear). Zbl0413.49015MR548983
  15. [15] R.E. Huff, The Radon-Nikodym property for Banach spaces, in "Measure theory ", Lecture Notes in Math. Vol. 541Springer Verlag (1976). Zbl0336.46028MR442653

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