Perturbed optimization problems in Banach spaces

Gérard Lebourg

Mémoires de la Société Mathématique de France (1979)

  • Volume: 60, page 95-111
  • ISSN: 0249-633X

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Lebourg, Gérard. "Perturbed optimization problems in Banach spaces." Mémoires de la Société Mathématique de France 60 (1979): 95-111. <http://eudml.org/doc/94807>.

@article{Lebourg1979,
author = {Lebourg, Gérard},
journal = {Mémoires de la Société Mathématique de France},
keywords = {densely solvable continuous proper perturbation; non-convex perturbed optimization; necessary condition; uniformly convexifiable Banach space; programming in abstract spaces},
language = {eng},
pages = {95-111},
publisher = {Société mathématique de France},
title = {Perturbed optimization problems in Banach spaces},
url = {http://eudml.org/doc/94807},
volume = {60},
year = {1979},
}

TY - JOUR
AU - Lebourg, Gérard
TI - Perturbed optimization problems in Banach spaces
JO - Mémoires de la Société Mathématique de France
PY - 1979
PB - Société mathématique de France
VL - 60
SP - 95
EP - 111
LA - eng
KW - densely solvable continuous proper perturbation; non-convex perturbed optimization; necessary condition; uniformly convexifiable Banach space; programming in abstract spaces
UR - http://eudml.org/doc/94807
ER -

References

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  1. [1] J. BARANGER: Quelques résultats en optimisation non convexe. Thèse 1973. Univ. de Grenoble. 
  2. [2] J. BARANGER et R. TEMAM: Non convex optimization problems depending on a parameter. SIAM J. of Control. vol. 13 n° 1 Feb 74. Zbl0302.49003MR55 #3906
  3. [3] F.H. CLARKE: A new approach to Lagrange multipliers. Math. of Operat. Research vol. 1 n° 2, May 76. Zbl0404.90100MR54 #2209
  4. [4] I. EKELAND: On the variational principle. J. Math. Anal. Appl. 47 (1974). Zbl0286.49015MR49 #11344
  5. [5] I. EKELAND et G. LEBOURG : Generic differentiability and perturbed optimization problems in Banach spaces. Trans. Amer. Math. Soc. 224 n° 2 (1976). Zbl0313.46017MR55 #4254
  6. [6] I. NAMIOKA et R.R. PHELPS: Banach spaces which are Asplund spaces. Zbl0332.46013
  7. [7] J. DIESTEL: Geometry of Banach spaces. Lecture notes in Math. N° 485. Springer. Zbl0307.46009MR57 #1079

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