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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 60, 2011 - Issue 5
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Original Articles

On some Fermat rules for set-valued optimization problems

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Pages 575-591 | Received 28 Apr 2009, Accepted 20 Nov 2009, Published online: 11 Nov 2010

References

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  • Durea , M , Dutta , J and Tammer , C . 2008 . Bounded sets of Lagrange multipliers for vector optimization problems in infinite dimension . J. Math. Anal. Appl. , 348 : 589 – 606 .
  • Durea , M and Strugariu , R . Quantitative results on openness of set-valued mappings and implicit multifunction theorems, Pac. J. Optim. (accepted)
  • Mordukhovich , BS . 2006 . “ Variational Analysis and Generalized Differentiation, Vol. I: Basic Theory ” . In Vol. II: Applications, Grundlehren der Mathematischen Wissenschaften (A Series of Comprehensive Studies in Mathematics) , Vol. 330 and 331 , Berlin : Springer .
  • Ng , KF and Zheng , XY . 2005 . The Fermat rule for multifunctions on Banach spaces . Math. Program. Ser. A , 104 : 69 – 90 .
  • Ng , KF and Zheng , XY . 2006 . The Lagrange multiplier rule for multifunctions on Banach spaces . SIAM J. Optim. , 17 : 1154 – 1175 .
  • Penot , J-P . 1998 . Compactness properties, openness criteria and coderivatives . Set-Valued Anal. , 6 : 363 – 380 .
  • Zălinescu , C . 2002 . Convex Analysis in General Vector Spaces , Singapore : World Scientific .

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