Open Access
RAIRO-Oper. Res.
Volume 55, Number 5, September-October 2021
Page(s) 3041 - 3048
Published online 13 October 2021
  • F.H. Clarke, Optimization and Nonsmooth Analysis. Wiley, New York (1983). [Google Scholar]
  • S. Dempe, J. Dutta and B.S. Mordukhovich, New necessary optimality conditions in optimistic bilevel programming. Optimization 56 (2007) 577–604. [Google Scholar]
  • N.A. Gadhi, A note on the paper ``Sufficient optimality conditions using convexifactors for optimistic bilevel programming problem’’. J. Ind. Manag. Optim. (2021). DOI: 10.3934/jimo.2021103 . [Google Scholar]
  • N. Gadhi and S. Dempe, Necessary optimality conditions and a new approach to multi-objective bilevel optimization problems. J. Optim. Theory Appl. 155 (2012) 100–114. [Google Scholar]
  • N.A. Gadhi and L. Lafhim, Optimality conditions for a bilevel optimization problem in terms of KKT multipliers and convexificators. Croatian Oper. Res. Rev. 10 (2019) 329–335. [Google Scholar]
  • M.A. Goberna and M.A. López, Linear Semi-Infinite Optimization. Wiley, Chichester (1998). [Google Scholar]
  • J.B. Hiriart-Urruty, Tangent cones, generalized gradients and mathematical programming in Banach spaces. Math. Oper. Res. 4 (1979) 79–97. [Google Scholar]
  • B. Kohli, Optimality conditions for optimistic bilevel programming problem using convexifactors. J. Optim. Theory Appl. 152 (2012) 632–651. [Google Scholar]
  • L. Lafhim, N. Gadhi, K. Hamdaoui and F. Rahou, Necessary optimality conditions for a bilevel multiobjective programming problem via a Ψ-reformulation. Optimization 67 (2018) 2179–2189. [Google Scholar]
  • C. Lemaréchal, An introduction to the theory of nonsmooth optimization. optimization 17 (1986) 827–858. [Google Scholar]
  • J.E. Martnez-Legaz, Optimality conditions for pseudoconvex minimization over convex sets defined by tangentially convex constraints. Optim. Lett. 9 (2015) 1017–1023. [CrossRef] [Google Scholar]
  • F. Mashkoorzadeh, N. Movahedian and S. Nobakhtian, Optimality conditions for nonconvex constrained optimization problems. Num. Funct. Anal. Optim. 40 (2019) 1918–1938. [Google Scholar]
  • P. Michel and J.P. Penot, A generalized derivative for calm and stable functions. Diff. Int. Equ. 5 (1992) 433–454. [Google Scholar]
  • J.V. Outrata, On the numerical solution of a class of Stackelberg problems. ZOR-Methods Mod. Oper. Res. 34 (1990) 255–277. [Google Scholar]
  • B.N. Pshenichnyi, Necessary Conditions for an Extremum. Marcel Dekker Inc., New York, NY (1971). [Google Scholar]
  • N. Sisarat and R. Wangkeeree, Characterizing the solution set of convex optimization problems without convexity of constraints. Optim. Lett. 14 (2020) 1127–1144. [Google Scholar]
  • J.J. Ye, Necessary optimality conditions for multiobjective bilevel programs. Math. Oper. Res. 36 (2011) 165–184. [Google Scholar]
  • J.J. Ye and D.L. Zhu, Optimality conditions for bilevel programming problems. Optimization 33 (1995) 9–27. [Google Scholar]
  • W.I. Zangwill, Nonlinear Programming: A Unified Approach. Prentice-Hall, Englewood Cliffs, NJ (1969). [Google Scholar]

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