Fritz John's type conditions and associated duality forms in convex non differentiable vector-optimization

I. Kouada

RAIRO - Operations Research - Recherche Opérationnelle (1994)

  • Volume: 28, Issue: 4, page 399-412
  • ISSN: 0399-0559

How to cite

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Kouada, I.. "Fritz John's type conditions and associated duality forms in convex non differentiable vector-optimization." RAIRO - Operations Research - Recherche Opérationnelle 28.4 (1994): 399-412. <http://eudml.org/doc/105092>.

@article{Kouada1994,
author = {Kouada, I.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {subgradient; subdifferential; vector-valued Lagrangian; necessary and sufficient conditions; Wolfe's type duality; convex non-differentiable constrained multicriteria optimization; saddle point},
language = {eng},
number = {4},
pages = {399-412},
publisher = {EDP-Sciences},
title = {Fritz John's type conditions and associated duality forms in convex non differentiable vector-optimization},
url = {http://eudml.org/doc/105092},
volume = {28},
year = {1994},
}

TY - JOUR
AU - Kouada, I.
TI - Fritz John's type conditions and associated duality forms in convex non differentiable vector-optimization
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1994
PB - EDP-Sciences
VL - 28
IS - 4
SP - 399
EP - 412
LA - eng
KW - subgradient; subdifferential; vector-valued Lagrangian; necessary and sufficient conditions; Wolfe's type duality; convex non-differentiable constrained multicriteria optimization; saddle point
UR - http://eudml.org/doc/105092
ER -

References

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  1. 1. H. C. LAI C. P. Ho, Duality theorem of nondifferentiable convex multiobjective programming, Journal of optimization Theory and Applications (JOTA), 1986, 50, n° 3, pp. 407-420. Zbl0577.90077MR858247
  2. 2. P.-J. LAURENT, Approximation et Optimisation, Hermann, Paris, 1972. Zbl0238.90058MR467080
  3. 3. D. T. Luc, On duality theory in multiobjective programming, JOTA, 1984, 43, n° 4, pp. 557-582, August. Zbl0517.90076MR759616
  4. 4. P. KANNIAPPAN, Necessary conditions for optimality of nondifferentiable convex multiobjective programming, JOTA, 1983, 40, n° 2, pp. 167-174. Zbl0488.49007MR703314
  5. 5. O. L. MANGASARIAN, Nonlinear programming, McGraw-Hill Book Company, New York, 1969. Zbl0194.20201MR252038
  6. 6. H. NAKAYAMA, Geometric consideration of duality in vector optimization, JOTA, 1985, 44, n° 4, pp. 625-655, December. Zbl0534.90079MR777817

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