Open Access
Issue |
RAIRO-Oper. Res.
Volume 59, Number 3, May-June 2025
|
|
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Page(s) | 1665 - 1680 | |
DOI | https://doi.org/10.1051/ro/2025062 | |
Published online | 20 June 2025 |
- T.D. Chuong, Optimality conditions for nonsmooth multiobjective bilevel optimization problems. Ann. Oper. Res. 287 (2020) 617–642. [CrossRef] [MathSciNet] [Google Scholar]
- S. Dempem and A.B. Zemkoho, Bilevel road pricing: theoretical analysis and optimality conditions. Ann. Oper. Res. 196 (2012) 223–240. [CrossRef] [MathSciNet] [Google Scholar]
- S.A. Gabriel and F.U. Leuthold, Solving discretely-constrained MPEC problems with applications in electric power markets. Energy Econ. 32 (2010) 3–14. [CrossRef] [Google Scholar]
- J. Wang, Y. Kang, C. Kwon and R. Batta, Dual toll pricing for hazardous materials transport with linear delay. Netw. Spatial Econ. 12 (2012) 147–165. [CrossRef] [MathSciNet] [Google Scholar]
- B.T. Baumrucker, J.G. Renfro and L.T. Biegler, MPEC problem formulations and solution strategies with chemical engineering applications. Comput. Chem. Eng. 32 (2008) 2903–2913. [CrossRef] [Google Scholar]
- X. Liu and Q. Chen, An algorithm for the mixed transportation network design problem. PloS One 11 (2016) e0162618. [CrossRef] [PubMed] [Google Scholar]
- M.A. Lopez and G. Still, Semi-infinite programming. Eur. J. Oper. Res. 180 (2007) 491–518. [CrossRef] [Google Scholar]
- S.K. Suneja and B. Kohli, Optimality and duality results for bilevel programming problem using convexificators. J. Optim. Theory Appl. 150 (2011) 1–19. [CrossRef] [MathSciNet] [Google Scholar]
- S.K. Mishra, M. Jayswal and L.T.M. An, Duality for nonsmooth semi-infinite programming problems. Optim. Lett. 6 (2012) 261–271. [CrossRef] [MathSciNet] [Google Scholar]
- M. Mond and T. Weir, Generallized Concavity and Duality, Generallized Concavity in Optimization and Economics. Academic Press, New York (1981). [Google Scholar]
- D.V. Luu and D.D. Hang, On efficiency conditions for nonsmooth vector equilibrium problems with equilibrium constraints. Numer. Funct. Anal. Optim. 36 (2015) 1622–1642. [CrossRef] [MathSciNet] [Google Scholar]
- D.V. Luu and T.T. Mai, Optimality and duality in constrained interval-valued optimization. 4OR – Q. J. Oper. Res. 16 (2018) 311–327. [CrossRef] [Google Scholar]
- Y. Pandey and S.K. Mishra, Duality for nonsmooth optimization problems with equilibrium constraints, using convexificators. J. Optim. Theory Appl. 17 (2016) 694–707. [CrossRef] [MathSciNet] [Google Scholar]
- D.V. Luu and T.T. Mai, Optimality and duality in constrained interval-valued optimization. 4OR – Q. J. Oper. Res. 16 (2018) 311–327. [CrossRef] [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]
- T.V. Su, D.D. Hang and N.C. Dieu, Optimality conditions and duality in terms of convexificators for multiobjective bilevel programming problem with equilibrium constraints. Comput. Appl. Math. 40 (2021) 1–26. [CrossRef] [Google Scholar]
- K. Das, I. Ahmad and S. Treant¸ă, Cone arcwise connectivity in optimization problems with difference of set-valued mappings. SeMA J. 81 (2024) 511–529. [CrossRef] [MathSciNet] [Google Scholar]
- K. Das, S. Treant¸ă and M.B. Khan, Set-valued fractional programming problems with sigma-arcwisely connectivity. AIMS Math. 8 (2022) 13181–13204. [Google Scholar]
- K. Das, S. Treant¸ă and T. Botmart, Set-valued minimax programming problems under σ-arcwisely connectivity. AIMS Math. 8 (2023) 11238–11258. [CrossRef] [MathSciNet] [Google Scholar]
- K. Das and S. Treant¸ă, On constrained set-valued semi-infinite programming problems with rho-cone arcwise connectedness. Axioms 10 (2021) 302. [CrossRef] [Google Scholar]
- J.-P. Aubin, Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions, in Advances in Mathematics Supplementary Studies 7A, edited by L. Nachbin. Academic Press, New York (1981) 159–229. [Google Scholar]
- J. Jahn and A.A. Khan, Some calculus rules for contingent epiderivatives. Optimization 52 (2003) 113–125. [CrossRef] [MathSciNet] [Google Scholar]
- J. Jahn and A.A. Khan, The existence of contingent epiderivatives for set-valued maps. Appl. Math. Lett. 16 (2013) 1179–1185. [Google Scholar]
- J. Jahn and R. Rauh, Contingent epiderivatives and set-valued optimization. Math. Methods Oper. Res. 46 (1997) 193–211. [CrossRef] [MathSciNet] [Google Scholar]
- B. Jiménez and V. Novo, First order optimality conditions in vector optimization involving stable functions. Optimization 57 (2008) 449–471. [CrossRef] [MathSciNet] [Google Scholar]
- L. Rodríguez-Marín and M. Sama, About Contingent epiderivatives. J. Math. Anal. Appl. 327 (2007) 745–762. [CrossRef] [MathSciNet] [Google Scholar]
- K. Das, S. Treant¸ă and T. Saeed, Mond-Weir and Wolfe duality of set-valued fractional minimax problems in terms of contingent epiderivative of second-order. Mathematics 10 (2022) 938. [CrossRef] [Google Scholar]
- J.P. Aubin and H. Frankowska, Set-Valued Analysis. Birkhauser, Boston (1990). [Google Scholar]
- B.C. Joshi, Optimality and duality for nonsmooth semi-infinite mathematical program with equilibrium constraints involving generalized invexity of order σ > 0. RAIRO Oper. Res. 55 (2021) 2221–2240. [Google Scholar]
- J.J. Ye, Necessary and sufficient optimality conditions for mathematical program with equilibrium constraints. J. Math. Anal. Appl. 307 (2005) 350–369. [CrossRef] [MathSciNet] [Google Scholar]
- T.V. Su, Optimality and duality for nonsmooth mathematical programming problems with equilibrium constraints. J. Glob. Optim. 85 (2023) 663–685. [CrossRef] [Google Scholar]
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