| Issue |
RAIRO-Oper. Res.
Volume 55, 2021
Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
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|---|---|---|
| Page(s) | S1037 - S1049 | |
| DOI | https://doi.org/10.1051/ro/2020049 | |
| Published online | 02 March 2021 | |
- J. Abadie, On the Kuhn–Tucker Theorem, Nonlinear Programming, edited by J. Abadie and S. Vajda. North-Holland Pub. Co., Amsterdam (1967) 19–36. [Google Scholar]
- J. Baier and J. Jahn, On subdifferentials of set-valued maps. J. Optim. Theory App. 100 (1999) 233–240. [Google Scholar]
- T.Q. Bao and B.S. Mordukhovich, Existence of minimizers and necessary conditions for set-valued optimization with equilibrium constraints. Appl. Math. 52 (2007) 453–472. [Google Scholar]
- F.C. Clarke, Optimization and Nonsmooth Analysis. Wiley-Interscience, New York, NY (1983). [Google Scholar]
- H.W. Corley, Optimality conditions for maximization of set-valued functions. J. Optim. Theory App. 58 (1988) 1–10. [Google Scholar]
- S. Dempe and N. Gadhi, Necessary optimality conditions for bilevel set optimization problems. J. Global Optim. 39 (2007) 529–542. [Google Scholar]
- V.F. Demyanov and V. Jeyakumar, Hunting for a smaller convex subdifferential. J. Global Optim. 10 (1997) 305–326. [Google Scholar]
- P.H. Dien, Locally Lipschitzian set-valued maps and general extremal problems with inclusion constraints. Acta Math. Vietnam. 1 (1983) 109–122. [Google Scholar]
- P.H. Dien, On the regularity condition for the extremal problem under locally Lipschitz inclusion constraints. Appl. Math. Optim. 13 (1985) 151–161. [Google Scholar]
- J. Dutta and S. Chandra, Convexificators, generalized convexity and optimality conditions. J. Optim. Theory App. 113 (2002) 41–65. [Google Scholar]
- N. Gadhi, Optimality conditions for the difference of convex set-valued mappings. Positivity 9 (2005) 687–703. [Google Scholar]
- N. Gadhi and A. Jawhar, Necessary optimality conditions for a set-valued fractional extremal programming problem under inclusion constraints. J. Global Optim. 56 (2013) 489–501. [Google Scholar]
- M.A. Hejazi, N. Movahedian and S. Nobakhtian, Multiobjective problems: enhanced necessary conditions and new constraint qualifications via convexificators. Numer. Funct. Anal. Optim. 39 (2018) 11–37. [Google Scholar]
- M.A. Hejazi and S. Nobakhtian, Optimality conditions for multiobjective fractional programming, via convexificators. J. Ind. Manage. Optim. 16 (2020) 623–631. [Google Scholar]
- J.-B. Hiriart-Urruty and C. Lemaréchal, Fundamentals of Convex Analysis. Springer-Verlag, Berlin Heidelberg (2001). [Google Scholar]
- J. Jahn and R. Rauh, Contingent epiderivatives and set-valued optimization. Math. Methods Oper. Res. 46 (1997) 193–211. [Google Scholar]
- V. Jeyakumar and T. Luc, Nonsmooth calculus, minimality and monotonicity of convexificators. J. Optim. Theory App. 101 (1999) 599–621. [Google Scholar]
- B. Kohli, Optimality conditions for optimistic bilevel programming problem using convexificators. J. Optim. Theory App. 152 (2012) 632–651. [Google Scholar]
- C.S. Lalitha, J. Dutta and M.G. Govil, Optimality criteria in set-valued optimization. J. Aust. Math. Soc. 75 (2003) 221–231. [Google Scholar]
- X.F. Li and J.Z. Zhang, Necessary optimality conditions in terms of convexificators in Lipschitz optimization. J. Optim. Theory App. 131 (2006) 429–452. [Google Scholar]
- B.S. Mordukhovich, The extremal principle and its applications to optimization and economics. In: Optimization and Related Topics, edited by A. Rubinov and B. Glover. Vol. 47 of Applied Optimization. Kluwer, Dordrecht (2001) 343–369. [Google Scholar]
- B.S. Mordukhovich and Y. Shao, A nonconvex subdifferential calculus in Banach space. J. Convex Anal. 2 (1995) 211–227. [Google Scholar]
- M. Penot, A generalized derivatives for calm and stable functions. Differ. Integral Equ. 5 (1992) 433–454. [Google Scholar]
- Y. Sawaragi and T. Tanino, Conjugate maps and duality in multiobjective optimization. J. Optim. Theory App. 31 (1980) 473–499. [Google Scholar]
- A. Taa, Subdifferentials of multifunctions and Lagrange multipliers for multiobjective optimization. J. Math. Anal. App. 283 (2003) 398–415. [Google Scholar]
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