Inf-convolution quasi-convexe des fonctionnelles positives

Abdelkader Elqortobi

RAIRO - Operations Research - Recherche Opérationnelle (1992)

  • Volume: 26, Issue: 4, page 301-311
  • ISSN: 0399-0559

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Elqortobi, Abdelkader. "Inf-convolution quasi-convexe des fonctionnelles positives." RAIRO - Operations Research - Recherche Opérationnelle 26.4 (1992): 301-311. <http://eudml.org/doc/105042>.

@article{Elqortobi1992,
author = {Elqortobi, Abdelkader},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {quasiconvexity; surrogate duality; infimal convolution; convex analysis; quasiconvex infimal convolution; quasi-tangential},
language = {fre},
number = {4},
pages = {301-311},
publisher = {EDP-Sciences},
title = {Inf-convolution quasi-convexe des fonctionnelles positives},
url = {http://eudml.org/doc/105042},
volume = {26},
year = {1992},
}

TY - JOUR
AU - Elqortobi, Abdelkader
TI - Inf-convolution quasi-convexe des fonctionnelles positives
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1992
PB - EDP-Sciences
VL - 26
IS - 4
SP - 301
EP - 311
LA - fre
KW - quasiconvexity; surrogate duality; infimal convolution; convex analysis; quasiconvex infimal convolution; quasi-tangential
UR - http://eudml.org/doc/105042
ER -

References

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  1. 1. M. ATTEIA et A. ELQORTOBI, Quasi-Convex Duality Lectures Notes in Control and Inform. Sci., 1980, 30, p. 3-8. Zbl0482.90075MR618468
  2. 2. N. BOURBAKI, Espaces Vectoriels topologiques, Hermann, Paris, Zbl0042.35302
  3. 3. J. P. CROUZEIX, Contributions à l'étude des fonctions quasiconvexes, Thèse de Doctorat d'État, série E, n° d'ordre 250, 1977. Université de Clermont-Ferrand (France). MR484417
  4. 4. M. J. GREENBERG et W. P. PIERSKALLA, Quasi-Conjugate Functions and Surrogate Duality, Cahiers Centre Études Rech. Opér., 1973, 75, p. 437-448. Zbl0276.90051MR366402
  5. 5. P. J. LAURENT, Approximation et Optimisation, Hermann, Paris, 1972. Zbl0238.90058MR467080
  6. 6. J. E. MARTINEZ-LEGAZ, Quasiconvex Duality Theory by Generalized Conjugation Methods, Optimization, 1988, 19, p. 603-652. Zbl0671.49015MR960433
  7. 7. J. J. MOREAU, Inf-convolution, sous-additivité, convexité des fonctions numériques, J. Math. Pures Appl., 1970, 49, p. 109-154. Zbl0195.49502MR288602
  8. 8. U. PASSY et E. Z. PRISMAN, Conjugacy in quasiconvex programming, Math. Programming, 1984, 30, p.121-146. Zbl0547.49008MR758000
  9. 9. J. P. PENOT et M. VOLLE, On Quasi-convex Duality, Math. Oper. Res., 1990, 15, p. 597-625. Zbl0717.90058MR1080468
  10. 10. R. T. ROCKAFELLAR, Convex Analysis, Princeton, 1970. Zbl0932.90001MR274683
  11. 11. I. SINGER, Conjugate Functionals and Level Sets, Nonlinear Anal. Theory, Methods Appl., 1984, 8, p.313-320. Zbl0538.49005MR739662
  12. 12. M. VOLLE, Conjugaison par tranches, Ann. Mat. Pura Appl. (IV), 1985, 139, p. 279-312. Zbl0581.49007MR798177

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