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Aussel, Didier; Svensson, Anton

A short state of the art on multi-leader-follower games. (English) Zbl 1477.91008

Dempe, Stephan (ed.) et al., Bilevel optimization. Advances and next challenges. Cham: Springer. Springer Optim. Appl. 161, 53-76 (2020).

MSC: 91A65 91A68 90C29 90C47

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Shirzadi, Mohammad; Dehghan, Mehdi; Foroush Bastani, Ali

On the pricing of multi-asset options under jump-diffusion processes using meshfree moving least-squares approximation. (English) Zbl 1463.91203

Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105160, 18 p. (2020).

MSC: 91G60 45K05 60G51 60H30 65M06 65M70 35R35 91G20

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Zare, M. Hosein; Prokopyev, Oleg A.; Sauré, Denis

On bilevel optimization with inexact follower. (English) Zbl 1511.90390

Decis. Anal. 17, No. 1, 74-95 (2020).

MSC: 90C30 90C17 91A65

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Chadli, O.; Mohapatra, R. N.

On the existence and approximation of solutions for bilevel vector variational inequalities in Banach spaces. (English) Zbl 1443.47060

J. Nonlinear Var. Anal. 4, No. 1, 135-151 (2020).

MSC: 47J25 49J40 47H05

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Chen, Rui; Qian, Xinwu; Miao, Lixin; Ukkusuri, Satish V.

Optimal charging facility location and capacity for electric vehicles considering route choice and charging time equilibrium. (English) Zbl 1458.90419

Comput. Oper. Res. 113, Article ID 104776, 18 p. (2020).

MSC: 90B80 90C30

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López-Ramos, Francisco; Nasini, Stefano; Guarnaschelli, Armando

Road network pricing and design for ordinary and hazmat vehicles: integrated model and specialized local search. (English) Zbl 1458.90172

Comput. Oper. Res. 109, 170-187 (2019).

MSC: 90B10 90B20 90C11

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Chadli, Ouayl; Ansari, Qamrul Hasan; Al-Homidan, Suliman

Existence of solutions and algorithms for bilevel vector equilibrium problems: an auxiliary principle technique. (English) Zbl 1362.90340

J. Optim. Theory Appl. 172, No. 3, 726-758 (2017).

MSC: 90C30 90C29 90C33 49J40 47J20

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Jahanshahloo, Almas; Zohrehbandian, Majid

A cutting plane approach for solving linear bilevel programming problems. (English) Zbl 1350.90033

Thi, Hoai An Le (ed.) et al., Advanced computational methods for knowledge engineering. Proceedings of 3rd international conference on computer science, applied mathematics and applications – ICCSAMA 2015. Extended versions of papers, Metz, France, May 11–13, 2015. Cham: Springer (ISBN 978-3-319-17995-7/pbk; 978-3-319-17996-4/ebook). Advances in Intelligent Systems and Computing 358, 3-13 (2015).

MSC: 90C30 90C31

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Three modeling paradigms in mathematical programming. (English) Zbl 1202.90254

Math. Program. 125, No. 2 (B), 297-323 (2010).

MSC: 90C33

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Exact penalty functions and calmness for mathematical programming under nonlinear perturbations. (English) Zbl 1203.90151

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 6, 1596-1609 (2010).

MSC: 90C30 49J53 49K27 49M30 90C31 90C48

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Hu, Cheng-Feng; Liu, Fung-Bao

Solving mathematical programs with fuzzy equilibrium constraints. (English) Zbl 1189.90218

Comput. Math. Appl. 58, No. 9, 1844-1851 (2009).

MSC: 90C70 90C47 65K05

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Glackin, J.; Ecker, J. G.; Kupferschmid, M.

Solving bilevel linear programs using multiple objective linear programming. (English) Zbl 1163.90020

J. Optim. Theory Appl. 140, No. 2, 197-212 (2009).

MSC: 90C29 90C05

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Pieume, C. O.; Fotso, L. P.; Siarry, P.

A method for solving bilevel linear programming problems. (English) Zbl 1154.90543

J. Inf. Optim. Sci. 29, No. 2, 335-358 (2008).

MSC: 90C05

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Jarušek, Jiří; Outrata, Jiří V.

On sharp necessary optimality conditions in control of contact problems with strings. (English) Zbl 1113.49024

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 4, 1117-1128 (2007).

MSC: 49K20

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Aussel, D.; Ye, J. J.

Quasiconvex programming with locally starshaped constraint region and applications to quasiconvex MPEC. (English) Zbl 1134.49010

Optimization 55, No. 5-6, 433-457 (2006).

MSC: 49J52 49J40 90C26 90C46

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Zhang, J. Z.; Liu, G. S.; Wang, S. Y.

A globally convergent approximately active search algorithm for solving mathematical programs with linear complementarity constraints. (English) Zbl 1062.65067

Numer. Math. 98, No. 3, 539-558 (2004).

Reviewer: Akrur Behera (Rourkela)

MSC: 65K05 90C30 90C33

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Kočvara, Michal; Outrata, Jiří V.

Optimization problems with equilibrium constraints and their numerical solution. (English) Zbl 1076.90058

Math. Program. 101, No. 1 (B), 119-149 (2004).

MSC: 90C33 49J40 65K05 90C30 91A10 91A65

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Bírbíl, Ş. İlker; Fang, Shu-Cherng; Han, Jiye

An entropic regularization approach for mathematical programs with equilibrium constraints. (English) Zbl 1074.90048

Comput. Oper. Res. 31, No. 13, 2249-2262 (2004).

MSC: 90C33 90C30

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Dempe, S.; Bard, J. F.

Bundle trust-region algorithm for bilinear bilevel programming. (English) Zbl 1024.90063

J. Optimization Theory Appl. 110, No. 2, 265-288 (2001).

Reviewer: A.Shapiro (Pretoria)

MSC: 90C31

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Cheng, Yonghong

On the connectedness of the solution set for the weak vector variational inequality. (English) Zbl 0990.49010

J. Math. Anal. Appl. 260, No. 1, 1-5 (2001).

MSC: 49J40

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First-order necessary optimality conditions for general bilevel programming problems. (English) Zbl 0903.90148

J. Optimization Theory Appl. 95, No. 3, 735-739 (1997).

MSC: 90C30 91A65 49J52

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Luo, Zhi-Quan; Pang, Jong-Shi; Ralph, Daniel; Wu, Shi-Quan

Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints. (English) Zbl 0870.90092

Math. Program. 75, No. 1 (A), 19-76 (1996).

MSC: 90C30 49M30 49J52

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Dempe, S.; Schmidt, H.

On an algorithm solving two-level programming problems with nonunique lower level solutions. (English) Zbl 0858.90116

Comput. Optim. Appl. 6, No. 3, 227-249 (1996).

MSC: 90C30 90C31

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Computing optimal incentives via bilevel programming. (English) Zbl 0821.90149

Optimization 33, No. 1, 29-42 (1995).

MSC: 91A65 90C31

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Wang, S.; Wang, Q.; Romano-Rodríguez, S.

Optimality conditions and an algorithm for linear-quadratic bilevel programs. (English) Zbl 0819.90106

Optimization 31, No. 2, 127-139 (1994).

MSC: 90C30 91B06

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Mangasarian, O. L.

Misclassification minimization. (English) Zbl 0814.90081

J. Glob. Optim. 5, No. 4, 309-323 (1994).

MSC: 90C05

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Vicente, Luís N.; Calamai, Paul H.

Bilevel and multilevel programming: A bibliography review. (English) Zbl 0822.90127

J. Glob. Optim. 5, No. 3, 291-306 (1994).

MSC: 90C30 90-00 91A65 93A13

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Anandalingam, G.; Apprey, Victor

Multi-level programming and conflict resolution. (English) Zbl 0743.90127

Eur. J. Oper. Res. 51, No. 2, 233-247 (1991).

Reviewer: G.Anandalingam

MSC: 91A65 90C90 91B32 91A12

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Global stability result for the generalized quasivariational inequality problem. (English) Zbl 0737.49010

J. Optimization Theory Appl. 70, No. 2, 365-375 (1991).

Reviewer: T.Nambu (Kumamoto)

MSC: 49J40 49J45 49K40 26E25

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Harker, Patrick T.; Pang, Jong-Shi

Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications. (English) Zbl 0734.90098

Math. Program., Ser. B 48, No. 2, 161-220 (1990).

MSC: 90C33 90-02 49J40 91B50 91D25 91A10

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Kyparisis, Jerzy

Sensitivity analysis for variational inequalities and nonlinear complementarity problems. (English) Zbl 0723.90075

Ann. Oper. Res. 27, 143-173 (1990).

Reviewer: S.Shih (Tianjin)

MSC: 90C31 90C33 49J40 90C30

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