Free Access
| 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) | S2221 - S2240 | |
| DOI | https://doi.org/10.1051/ro/2020081 | |
| Published online | 02 March 2021 | |
- A. Ben-Israel and B. Mond, What is Invexity? J. Aust. Math. Soc. Ser. B. 28 (1986) 1–9. [Google Scholar]
- W. Britz, M. Ferris and A. Kuhn, Modeling water allocating institutions based on multiple optimization problems with equilibrium constraints. Environ. Model. Softw. 46 (2013) 196–207. [Google Scholar]
- F.H. Clarke, Optimization and Nonsmooth Analysis. John Wiley & Sons, New York, NY (1983). [Google Scholar]
- B. Colson, P. Marcotte and G. Savard, An overview of bilevel optimization. Ann. Oper. Res. 153 (2007) 235–256. [Google Scholar]
- B.D. Craven and B.M. Glover, Invex Functions and Duality. J. Aust. Math. Soc. Ser. A. 39 (1985) 1–20. [Google Scholar]
- S. Dempe and A.B. Zemkoho, Bilevel road pricing: theoretical analysis and optimality conditions. Ann. Oper. Res. 196 (2012) 223–240. [Google Scholar]
- V.F. Demyanov, Convexification and concavification of a positively homogeneous function by the same family of linear functions. Universia di Pisa, Report 3, 208, 802 (1994). [Google Scholar]
- V.F. Demyanov and V. Jeyakumar, Hunting for a smaller convex subdifferential. J. Glob. Optim. 10 (1997) 305–326. [Google Scholar]
- V.F. Demyanov and A.M. Rubinov, Constructive Nonsmooth Analysis. Verlag Peter Lang, Frankfurt (1995). [Google Scholar]
- J. Dutta and S. Chandra, Convexifactors, generalized convexity and vector optimization. Optimization 53 (2004) 77–94. [Google Scholar]
- J. Dutta and S. Chandra, Convexifactors, generalized convexity and optimality conditions. J. Optim. Theory Appl. 113 (2002) 41–65. [Google Scholar]
- M.L. Flegel, C. Kanzow and J.V. Outrata, Optimality conditions for disjunctive programs with application to mathematical programs with equilibrium constraints. Set-Valued Anal. 15 (2006) 139–162. [Google Scholar]
- M.A. Goberna and M.A. López, Linear Semi-Infinite Optimization. John Wiley & Sons, Chichester (1998). [Google Scholar]
- M.A. Goberna and M.A. López, editors. Semi-Infinite Programming: Recent Advances. Kluwer, Dordrecht (2001). [Google Scholar]
- S.M. Guu, Y. Singh and S.K. Mishra, On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints. J. Inequal. Appl. 2017 (2017) 1–9. [Google Scholar]
- M.A. Hanson, On sufficiency of the Kuhn–Tucker conditions. J. Math. Anal. Appl. 80 (1981) 545–550. [Google Scholar]
- P.T. Harker and J.S. Pang, Finite-dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications. Math. Program. 48 (1990) 161–220. [Google Scholar]
- R. Hettich and K.O. Kortanek, Semi-infinite programming: theory, methods, and applications. SIAM Rev. 35 (1993) 380–429. [Google Scholar]
- V. Jeyakumar and D.T. Luc, Approximate Jacobian matrices for nonsmooth continuous maps and C1-optimization. SIAM J. Control Optim. 36 (1998) 1815–1832. [Google Scholar]
- V. Jeyakumar and D.T. Luc, Nonsmooth calculus, minimality, and monotonicity of convexificators. J. Optim. Theory Appl. 101 (1999) 599–621. [Google Scholar]
- V. Jeyakumar, D.T. Luc and S. Schaible, Characterizations of generalized monotone nonsmooth continuous maps using approximate Jacobians. J. Convex Anal. 5 (1998) 119–132. [Google Scholar]
- B.C. Joshi, Higher order duality in multiobjective fractional programming problem with generalized convexity. Yugosl. J. Oper. Res. 27 (2017) 249–264. [Google Scholar]
- B.C. Joshi, S.K. Mishra and P. Kumar, On Semi-infinite Mathematical Programming Problems with Equilibrium Constraints Using Generalized Convexity. J. Oper. Res. Soc. Ch. (2019). DOI: 10.1007/s40305-019-00263-y. [Google Scholar]
- B. Kohli, Optimality conditions for optimistic bilevel programming problem using convexifactors. J. Optim. Theory Appl. 152 (2012) 632–651. [Google Scholar]
- D.T. Luc, A multiplier rule for multiobjective programming problems with continuous data. SIAM J. Optim. 13 (2002) 168–178. [Google Scholar]
- M.A. López and G. Still, Semi-infinite programming. Eur. J. Oper. Res. 180 (2007) 491–518. [Google Scholar]
- Z.Q. Luo, J.S. Pang and D. Ralph, Mathematical Programs with Equilibrium Constraints. Cambridge University Press, Cambridge (1996). [Google Scholar]
- S.P. Marin, Optimal parameterization of curves for robot trajectory design. IEEE T Automat. Contr. 33 (1988) 209–214. [Google Scholar]
- P. Michel and J.-P. Penot, Calcul sous-différentiel pour des fonctions lipschitziennes et nonlipschitziennes. C. R. Math. Acad. Sci. 12 (1984) 269–272. [Google Scholar]
- S.K. Mishra and G. Giorgi, Invexity and Optimization, Springer-Verlag, Berlin-Heidelberg (2008). [Google Scholar]
- S.K. Mishra, V. Singh and V. Laha, On duality for mathematical programs with vanishing constraints. Ann. Oper. Res. 243 (2016) 249–272. [Google Scholar]
- B.S. Mordukhovich and Y. Shao, On nonconvex subdifferential calculus in Banach spaces. J. Convex Anal. 2 (1995) 211–228. [Google Scholar]
- N. Movahedian and S. Nobakhtian, Constraint qualifications for nonsmooth mathematical programs with equilibrium constraints. Set-Valued Anal. 17 (2009) 65–95. [Google Scholar]
- N. Movahedian and S. Nobakhtian, Nondifferentiable multiplier rules for optimization problems with equilibrium constraints. J. Convex Anal. 16 (2009) 187–210. [Google Scholar]
- N. Movahedian and S. Nobakhtian, Necessary and sufficient conditions for nonsmooth mathematical programs with equilibrium constraints. Nonlinear Anal. 72 (2010) 2694–2705. [Google Scholar]
- Y. Pandey and S.K. Mishra, Duality for nonsmooth optimization problems with equilibrium constraints, using convexificators. J. Optim. Theory Appl. 171 (2016) 694–707. [Google Scholar]
- Y. Pandey and S.K. Mishra, On strong KKT type sufficient optimality conditions for nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium constraints. Oper. Res. Lett. 44 (2016) 148–151. [Google Scholar]
- Y. Pandey and S.K. Mishra, Optimality conditions and duality for semi-infinite mathematical programming problems with equilibrium constraints, using convexificators. Ann. Oper. Res. 269 (2018) 549–564. [Google Scholar]
- E. Polak, On the mathematical foundations of nondifferentiable optimization in engineering design. SIAM Rev. 29 (1987) 21–89. [Google Scholar]
- A.U. Raghunathan and L.T. Biegler, Mathematical programs with equilibrium constraints in process engineering. Comput. Chem. Eng. 27 (2003) 1381–1392. [Google Scholar]
- R. Reemtsen and J.J. Ruckmann, editors. Semi-Infinite Programming. Kluwer, Dordrecht (1998). [Google Scholar]
- Y. Singh, Y. Pandey and S.K. Mishra, Saddle point optimality criteria for mathematical programming problems with equilibrium constraints. Oper. Res. Lett. 45 (2017) 254–258. [Google Scholar]
- M. Soleimani-damaneh, Characterizations and applications of generalized invexity and monotonicity in Asplund spaces. Top. 20 (2012) 592–613. [Google Scholar]
- O. Stein, Bi-level strategies in semi-infinite programming. In: Vol. 71 of Nonconve Optimization and its Applications. Kluwer Academic Publishers, Boston (2003). [CrossRef] [Google Scholar]
- O. Stein, How to solve a semi-infinite optimization problem. Eur. J. Oper. Res. 223 (2012) 312–320. [Google Scholar]
- S. Suh and T.J. Kim, Solving nonlinear bilevel programming models of the equilibrium network design problem: a comparative review. Ann. Oper. Res. 34 (1992) 203–218. [Google Scholar]
- S.K. Suneja and B. Kohli, Optimality and duality results for bilevel programming problem using convexifactors. J. Optim. Theory Appl. 150 (2011) 1–19. [Google Scholar]
- X. Tong, C. Ling and L. Qi, A semi-infinite programming algorithm for solving optimal power flow with transient stability constraints. J Comput. Appl. Math. 217 (2008) 432–447. [Google Scholar]
- A.I.F. Vaz and E.C. Ferreira, Air pollution control with semi-infinite programming. Appl. Math. Model. 33 (2009) 1957–1969. [Google Scholar]
- A. Winterfeld, Application of general semi-infinite programming to lapidary cutting problems. Eur. J. Oper. Res. 191 (2008) 838–854. [Google Scholar]
- J.J. Ye, Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints. J. Math. Anal. Appl. 307 (2005) 350–369. [Google Scholar]
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