Christof, Constantin; Wachsmuth, Gerd Energy space Newton differentiability for solution maps of unilateral and bilateral obstacle problems. (English) Zbl 07977243 SIAM J. Control Optim. 63, No. 1, 292-320 (2025). MSC: 35J86 49J52 49K20 46G05 49M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Madariaga, Javier I.; Ramírez, C. Héctor Facial approach for constructing stationary points for mathematical programs with cone complementarity constraints. (English) Zbl 07971576 J. Optim. Theory Appl. 204, No. 1, Paper No. 15, 27 p. (2025). MSC: 90C33 49J52 49K27 × Cite Format Result Cite Review PDF Full Text: DOI
Benko, Matúš; Mehlitz, Patrick On the directional asymptotic approach in optimization theory. (English) Zbl 07969264 Math. Program. 209, No. 1-2 (A), 859-937 (2025). MSC: 49J52 49J53 49K27 90C22 90C30 90C33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hori, Atsushi; Tsuyuguchi, Daisuke; Fukuda, Ellen H. A method for multi-leader-multi-follower games by smoothing the followers’ response function. (English) Zbl 07942673 J. Optim. Theory Appl. 203, No. 1, 305-335 (2024). MSC: 91A65 91A10 90C33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Thai Doan Chuong; Yu, Xinghuo; Eberhard, Andrew; Li, Chaojie; Liu, Chen Hierarchy relaxations for robust equilibrium constrained polynomial problems and applications to electric vehicle charging scheduling. (English) Zbl 07937690 J. Glob. Optim. 90, No. 3, 781-811 (2024). MSC: 90Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Günzel, Harald; Hernández Escobar, Daniel; Rückmann, Jan-J. MPCC: strong stability of weakly nondegenerate S-stationary points. (English) Zbl 07925676 Optimization 73, No. 10, 3121-3145 (2024). MSC: 90C30 90C33 90C31 × Cite Format Result Cite Review PDF Full Text: DOI
De Marchi, Alberto; Mehlitz, Patrick Local properties and augmented Lagrangians in fully nonconvex composite optimization. (English) Zbl 1542.49017 J. Nonsmooth Anal. Optim. 5, Article ID 12235, 36 p. (2024). MSC: 49J52 49J53 65K10 90C30 90C33 90C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haslinger, Jaroslav; Mäkinen, Raino A. E. Shape optimization for the Stokes system with threshold leak boundary conditions. (English) Zbl 07875908 Math. Comput. Simul. 221, 180-196 (2024). MSC: 76-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Zhaosong; Mei, Sanyou First-order penalty methods for bilevel optimization. (English) Zbl 1548.90399 SIAM J. Optim. 34, No. 2, 1937-1969 (2024). MSC: 90C26 90C30 90C47 65K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hintermüller, Michael; Keil, Tobias Strong stationarity conditions for the optimal control of a Cahn-Hilliard-Navier-Stokes system. (English) Zbl 1529.49011 Appl. Math. Optim. 89, No. 1, Paper No. 12, 28 p. (2024). MSC: 49K20 35Q30 49J40 35J87 90C46 76T10 × Cite Format Result Cite Review PDF Full Text: DOI
Gfrerer, Helmut; Mandlmayr, Michael; Outrata, Jiří V.; Valdman, Jan On the SCD semismooth\(^*\) Newton method for generalized equations with application to a class of static contact problems with Coulomb friction. (English) Zbl 1536.90243 Comput. Optim. Appl. 86, No. 3, 1159-1191 (2023). MSC: 90C53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liang, Yan-Chao; Liu, Yue-Wen; Lin, Gui-Hua; Zhu, Xide New constraint qualifications for mathematical programs with second-order cone complementarity constraints. (English) Zbl 1538.90157 J. Optim. Theory Appl. 199, No. 3, 1249-1280 (2023). MSC: 90C30 90C33 65K05 90C25 90C46 × Cite Format Result Cite Review PDF Full Text: DOI
Benko, Matúš; Gfrerer, Helmut; Ye, Jane J.; Zhang, Jin; Zhou, Jinchuan Second-order optimality conditions for general nonconvex optimization problems and variational analysis of disjunctive systems. (English) Zbl 1531.49020 SIAM J. Optim. 33, No. 4, 2625-2653 (2023). Reviewer: Ba Khiet Le (Ho Chi Minh City) MSC: 49J53 49J52 90C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Mengwei; Ye, Jane J. Relaxed constant positive linear dependence constraint qualification for disjunctive systems. (English) Zbl 1523.90311 Set-Valued Var. Anal. 31, No. 3, Paper No. 26, 31 p. (2023). MSC: 90C31 90C33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khanh, P. Q.; Tung, L. T. On optimality conditions and duality for multiobjective optimization with equilibrium constraints. (English) Zbl 1522.90223 Positivity 27, No. 4, Paper No. 49, 27 p. (2023). MSC: 90C32 90C29 90C46 49K99 × Cite Format Result Cite Review PDF Full Text: DOI
Benko, Matús; Mehlitz, Patrick Why second-order sufficient conditions are, in a way, easy – or – revisiting the calculus for second subderivatives. (English) Zbl 1521.49015 J. Convex Anal. 30, No. 2, 541-589 (2023). MSC: 49J52 49J53 90C26 90C46 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Markopoulos, Alexandros; Beremlijski, Petr; Vlach, Oldřich; Sadowská, Marie Solution of 3D contact shape optimization problems with Coulomb friction based on TFETI. (English) Zbl 1538.65157 Appl. Math., Praha 68, No. 4, 405-424 (2023). MSC: 65K10 74M10 × Cite Format Result Cite Review PDF Full Text: DOI
Mao, Weihao Estimates for coderivative of solution map in bilevel program. (English) Zbl 1516.90065 Appl. Anal. 102, No. 10, 2827-2846 (2023). MSC: 90C26 90C46 49J52 49J53 × Cite Format Result Cite Review PDF Full Text: DOI
Tin, Andrey; Zemkoho, Alain B. Levenberg-Marquardt method and partial exact penalty parameter selection in bilevel optimization. (English) Zbl 07712203 Optim. Eng. 24, No. 2, 1343-1385 (2023). MSC: 65Kxx 90Cxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mittal, Gaurav; Giri, Ankik Kumar A modified steepest descent method for solving non-smooth inverse problems. (English) Zbl 1512.65090 J. Comput. Appl. Math. 424, Article ID 114997, 17 p. (2023). MSC: 65J15 65J20 47A52 × Cite Format Result Cite Review PDF Full Text: DOI
Christof, Constantin; Wachsmuth, Gerd Semismoothness for solution operators of obstacle-type variational inequalities with applications in optimal control. (English) Zbl 1518.35379 SIAM J. Control Optim. 61, No. 3, 1162-1186 (2023). MSC: 35J86 35J87 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jia, Xiaoxi; Kanzow, Christian; Mehlitz, Patrick; Wachsmuth, Gerd An augmented Lagrangian method for optimization problems with structured geometric constraints. (English) Zbl 1518.90060 Math. Program. 199, No. 1-2 (A), 1365-1415 (2023). MSC: 90C22 90C30 90C33 65K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pang, Li-Ping; Meng, Fan-Yun; Yang, Jian-Song A class of infeasible proximal bundle methods for nonsmooth nonconvex multi-objective optimization problems. (English) Zbl 1516.90088 J. Glob. Optim. 85, No. 4, 891-915 (2023). MSC: 90C29 90C26 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Jane J.; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin Difference of convex algorithms for bilevel programs with applications in hyperparameter selection. (English) Zbl 1515.90110 Math. Program. 198, No. 2 (B), 1583-1616 (2023). MSC: 90C26 90C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cui, Shisheng; Shanbhag, Uday V. On the computation of equilibria in monotone and potential stochastic hierarchical games. (English) Zbl 07667534 Math. Program. 198, No. 2 (B), 1227-1285 (2023). MSC: 65K15 90C15 91A65 90C30 90C33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cui, Shisheng; Shanbhag, Uday V.; Yousefian, Farzad Complexity guarantees for an implicit smoothing-enabled method for stochastic MPECs. (English) Zbl 07667533 Math. Program. 198, No. 2 (B), 1153-1225 (2023). MSC: 65K15 90C15 90C30 90C33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mehlitz, Patrick Asymptotic regularity for Lipschitzian nonlinear optimization problems with applications to complementarity constrained and bilevel programming. (English) Zbl 1512.90222 Optimization 72, No. 1, 277-320 (2023). MSC: 90C30 90C33 65K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fabian, M.; Hiriart-Urruty, J.-B.; Pauwels, E. On the generalized Jacobian of the inverse of a Lipschitzian mapping. (English) Zbl 1521.47100 Set-Valued Var. Anal. 30, No. 4, 1443-1451 (2022). MSC: 47J07 47L07 26B10 × Cite Format Result Cite Review PDF Full Text: DOI
Maleknia, Morteza; Shamsi, Mostafa A quasi-Newton proximal bundle method using gradient sampling technique for minimizing nonsmooth convex functions. (English) Zbl 1509.90158 Optim. Methods Softw. 37, No. 4, 1415-1446 (2022). MSC: 90C26 49M37 65K05 49M05 × Cite Format Result Cite Review PDF Full Text: DOI
Shirdel, Gholam Hasan; Zeinali, Maryam; Ansari Ardali, Ali Some non-smooth optimality results for optimization problems with vanishing constraints via Dini-Hadamard derivative. (English) Zbl 1499.90229 J. Appl. Math. Comput. 68, No. 6, 4099-4118 (2022). MSC: 90C30 90C46 49J52 × Cite Format Result Cite Review PDF Full Text: DOI
Gräßle, Carmen; Hintermüller, Michael; Hinze, Michael; Keil, Tobias Simulation and control of a nonsmooth Cahn-Hilliard Navier-Stokes system with variable fluid densities. (English) Zbl 1502.49015 Hintermüller, Michael (ed.) et al., Non-smooth and complementarity-based distributed parameter systems. Simulation and hierarchical optimization. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 172, 211-240 (2022). MSC: 49J52 35B65 35J87 35K55 65K15 49K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laha, Vivek; Singh, Vinay; Pandey, Yogendra; Mishra, S. K. Nonsmooth mathematical programs with vanishing constraints in Banach spaces. (English) Zbl 1527.90224 Nikeghbali, Ashkan (ed.) et al., High-dimensional optimization and probability. With a view towards data science. Cham: Springer. Springer Optim. Appl. 191, 395-417 (2022). MSC: 90C30 49J52 90C33 90C46 90C48 × Cite Format Result Cite Review PDF Full Text: DOI
Monjezi, N. Hoseini; Nobakhtian, S. An inexact multiple proximal bundle algorithm for nonsmooth nonconvex multiobjective optimization problems. (English) Zbl 1490.90272 Ann. Oper. Res. 311, No. 2, 1123-1154 (2022). MSC: 90C29 90C26 49J52 × Cite Format Result Cite Review PDF Full Text: DOI
Brokate, Martin; Ulbrich, Michael Newton differentiability of convex functions in normed spaces and of a class of operators. (English) Zbl 1502.46030 SIAM J. Optim. 32, No. 2, 1265-1287 (2022); corrigendum and addendum ibid. 34, No. 3, 3163-3166 (2024). MSC: 46G05 46N10 26B25 47H04 49M15 × Cite Format Result Cite Review PDF Full Text: DOI
Hassan, Mohd; Maurya, J. K.; Mishra, S. K. On M-stationary conditions and duality for multiobjective mathematical programs with vanishing constraints. (English) Zbl 1527.90200 Bull. Malays. Math. Sci. Soc. (2) 45, No. 3, 1315-1341 (2022). MSC: 90C29 90C30 90C46 × Cite Format Result Cite Review PDF Full Text: DOI
Ke, Rongzhu; Yao, Wei; Ye, Jane J.; Zhang, Jin Generic property of the partial calmness condition for bilevel programming problems. (English) Zbl 1491.90129 SIAM J. Optim. 32, No. 2, 604-634 (2022). MSC: 90C26 90C31 90C33 90C46 49J52 91A65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gfrerer, Helmut; Outrata, Jiří V.; Valdman, Jan On the solution of contact problems with Tresca friction by the semismooth* Newton method. (English) Zbl 1490.74076 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 13th international conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13127, 515-523 (2022). MSC: 74M15 74M10 74S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Benko, Matúš; Červinka, Michal; Hoheisel, Tim Sufficient conditions for metric subregularity of constraint systems with applications to disjunctive and ortho-disjunctive programs. (English) Zbl 1484.49025 Set-Valued Var. Anal. 30, No. 1, 143-177 (2022). MSC: 49J52 49J53 65K10 90C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nhu, Vu Huu Levenberg-Marquardt method for ill-posed inverse problems with possibly non-smooth forward mappings between Banach spaces. (English) Zbl 1510.65112 Inverse Probl. 38, No. 1, Article ID 015007, 36 p. (2022). MSC: 65J20 65J22 47J06 65J15 × Cite Format Result Cite Review PDF Full Text: DOI
Eslamian, Mohammad Variational inequality over the set of common solutions of a system of bilevel variational inequality problem with applications. (English) Zbl 1483.65082 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 47, 18 p. (2022). MSC: 65J15 47H05 47J25 47J20 × Cite Format Result Cite Review PDF Full Text: DOI
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. On the differentiability of the minimal and maximal solution maps of elliptic quasi-variational inequalities. (English) Zbl 1477.49011 J. Math. Anal. Appl. 507, No. 1, Article ID 125732, 19 p. (2022). MSC: 49J40 49J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Steffensen, Sonja Multi-leader-follower potential games. (English) Zbl 1524.91020 ESAIM, Proc. Surv. 71, 155-162 (2021). MSC: 91A65 91A14 × Cite Format Result Cite Review PDF Full Text: DOI
Kanzow, Christian; Mehlitz, Patrick; Steck, Daniel Relaxation schemes for mathematical programmes with switching constraints. (English) Zbl 1489.65086 Optim. Methods Softw. 36, No. 6, 1223-1258 (2021). MSC: 65K05 90C30 90C33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nie, Jiawang; Wang, Li; Ye, Jane J.; Zhong, Suhan A Lagrange multiplier expression method for bilevel polynomial optimization. (English) Zbl 1509.65052 SIAM J. Optim. 31, No. 3, 2368-2395 (2021). MSC: 65K05 90C22 90C26 90C34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hintermüller, Michael; Keil, Tobias Optimal control of geometric partial differential equations. (English) Zbl 1475.49005 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part 2. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 22, 213-270 (2021). MSC: 49J20 49K20 49J40 35J87 35Q93 35Q35 35R35 90C33 90C46 76D45 76T10 65K10 65K15 × Cite Format Result Cite Review PDF Full Text: DOI
Liang, Yan-Chao; Ye, Jane J. Optimality conditions and exact penalty for mathematical programs with switching constraints. (English) Zbl 1534.90159 J. Optim. Theory Appl. 190, No. 1, 1-31 (2021). Reviewer: Pál Burai (Debrecen) MSC: 90C30 90C33 90C46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Harder, Felix; Mehlitz, Patrick; Wachsmuth, Gerd Reformulation of the M-stationarity conditions as a system of discontinuous equations and its solution by a semismooth Newton method. (English) Zbl 1467.49024 SIAM J. Optim. 31, No. 2, 1459-1488 (2021). MSC: 49M05 49M15 90C30 90C33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ramos, Alberto Mathematical programs with equilibrium constraints: a sequential optimality condition, new constraint qualifications and algorithmic consequences. (English) Zbl 1527.90250 Optim. Methods Softw. 36, No. 1, 45-81 (2021). MSC: 90C46 90C30 90C33 × Cite Format Result Cite Review PDF Full Text: DOI
Fu, Zhenwu; Chen, Yong; Han, Bo A projected Bouligand-Landweber iteration for non-smooth ill-posed problems. (English) Zbl 07323231 Inverse Probl. 37, No. 3, Article ID 035003, 21 p. (2021). MSC: 65R20 65R30 65R32 45Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Gfrerer, Helmut; Outrata, Jiří V. On a semismooth* Newton method for solving generalized equations. (English) Zbl 1462.90141 SIAM J. Optim. 31, No. 1, 489-517 (2021). MSC: 90C33 90C53 65K10 65K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Abubakar, Jamilu; Kumam, Poom; Deepho, Jitsupa Multistep hybrid viscosity method for split monotone variational inclusion and fixed point problems in Hilbert spaces. (English) Zbl 1484.47146 AIMS Math. 5, No. 6, 5969-5992 (2020). MSC: 47J22 47H05 47H10 47J25 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jian Ling; Zhang, Qi A global QP-free algorithm for mathematical programs with complementarity constraints. (English) Zbl 1503.90132 J. Inequal. Appl. 2020, Paper No. 213, 24 p. (2020). MSC: 90C30 65K05 90C33 90C55 49M37 × Cite Format Result Cite Review PDF Full Text: DOI
Tifroute, Mohamed; Lahmdani, Anouar; Bouzahir, Hassane Solving the nonsmooth bi-objective environmental and economic dispatch problem using smoothing functions. (English) Zbl 1480.91162 Appl. Sci. 22, 225-238 (2020). MSC: 91B76 90C29 90C30 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Kim, Youngdae; Leyffer, Sven; Munson, Todd MPEC methods for bilevel optimization problems. (English) Zbl 1481.90291 Dempe, Stephan (ed.) et al., Bilevel optimization. Advances and next challenges. Cham: Springer. Springer Optim. Appl. 161, 335-360 (2020). MSC: 90C30 90C33 × Cite Format Result Cite Review PDF Full Text: DOI
Strekalovsky, Alexander S.; Orlov, Andrei V. Global search for bilevel optimization with quadratic data. (English) Zbl 1481.90245 Dempe, Stephan (ed.) et al., Bilevel optimization. Advances and next challenges. Cham: Springer. Springer Optim. Appl. 161, 313-334 (2020). MSC: 90C20 90C26 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Jane J. Constraint qualifications and optimality conditions in bilevel optimization. (English) Zbl 1484.90119 Dempe, Stephan (ed.) et al., Bilevel optimization. Advances and next challenges. Cham: Springer. Springer Optim. Appl. 161, 227-251 (2020). Reviewer: I. M. Stancu-Minasian (Bucureşti) MSC: 90C30 90C46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maleknia, M.; Shamsi, M. A new method based on the proximal bundle idea and gradient sampling technique for minimizing nonsmooth convex functions. (English) Zbl 1462.65069 Comput. Optim. Appl. 77, No. 2, 379-409 (2020). MSC: 65K05 90C25 90C56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mehlitz, Patrick On the linear independence constraint qualification in disjunctive programming. (English) Zbl 1528.90258 Optimization 69, No. 10, 2241-2277 (2020). Reviewer: Ctirad Matonoha (Praha) MSC: 90C30 90C33 90C46 90C99 49J53 49K21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Outrata, Jiří V.; Valdman, Jan On computation of optimal strategies in oligopolistic markets respecting the cost of change. (English) Zbl 1454.90097 Math. Methods Oper. Res. 92, No. 3, 489-509 (2020). MSC: 90C33 91B52 49J40 90C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ezazipour, Soraya; Golbabai, Ahmad A globally convergent neurodynamics optimization model for mathematical programming with equilibrium constraints. (English) Zbl 1474.90475 Kybernetika 56, No. 3, 383-409 (2020). MSC: 90C33 90C26 × Cite Format Result Cite Review PDF Full Text: DOI Link
Christof, Constantin; De los Reyes, Juan Carlos; Meyer, Christian A nonsmooth trust-region method for locally Lipschitz functions with application to optimization problems constrained by variational inequalities. (English) Zbl 1446.49006 SIAM J. Optim. 30, No. 3, 2163-2196 (2020). MSC: 49J40 49J52 65K05 90C26 90C56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hejazi, M. Alavi; Movahedian, N. A new Abadie-type constraint qualification for general optimization problems. (English) Zbl 1491.90180 J. Optim. Theory Appl. 186, No. 1, 86-101 (2020); correction ibid. 199, No. 2, 856-861 (2023). MSC: 90C46 49J52 × Cite Format Result Cite Review PDF Full Text: DOI
Gfrerer, Helmut; Ye, Jane J. New sharp necessary optimality conditions for mathematical programs with equilibrium constraints. (English) Zbl 1491.90161 Set-Valued Var. Anal. 28, No. 2, 395-426 (2020). MSC: 90C30 90C33 90C46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rauls, Anne-Therese; Wachsmuth, Gerd Generalized derivatives for the solution operator of the obstacle problem. (English) Zbl 1442.49030 Set-Valued Var. Anal. 28, No. 2, 259-285 (2020). Reviewer: Tullio Zolezzi (Genova) MSC: 49K40 47J20 58C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mehlitz, Patrick Stationarity conditions and constraint qualifications for mathematical programs with switching constraints. With applications to either-or-constrained programming. (English) Zbl 1480.90230 Math. Program. 181, No. 1 (A), 149-186 (2020). Reviewer: Yisheng Song (Hong Kong) MSC: 90C30 90C33 × Cite Format Result Cite Review PDF Full Text: DOI
Dempe, S.; Khamisov, O.; Kochetov, Yu. A special three-level optimization problem. (English) Zbl 1442.90178 J. Glob. Optim. 76, No. 3, 519-531 (2020). MSC: 90C30 91A65 × Cite Format Result Cite Review PDF Full Text: DOI
Mehlitz, Patrick A comparison of solution approaches for the numerical treatment of or-constrained optimization problems. (English) Zbl 1461.65175 Comput. Optim. Appl. 76, No. 1, 233-275 (2020). MSC: 65K05 90C30 90C33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Jayswal, Anurag; Singh, Vivek The characterization of efficiency and saddle point criteria for multiobjective optimization problem with vanishing constraints. (English) Zbl 1499.90198 Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 2, 382-394 (2019). MSC: 90C29 26B25 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Joshi, Bhuwan Chandra; Mishra, Shashi Kant; Pankaj On nonsmooth mathematical programs with equilibrium constraints using generalized convexity. (English) Zbl 1474.90504 Yugosl. J. Oper. Res. 29, No. 4, 449-463 (2019). MSC: 90C46 49J52 90C26 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Desmond; Bose, Subhonmesh; Wierman, Adam On the role of a market maker in networked Cournot competition. (English) Zbl 1437.91042 Math. Oper. Res. 44, No. 3, 1122-1144 (2019). MSC: 91A14 91B54 91A80 91B15 90B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kohli, Bhawna Necessary and sufficient optimality conditions using convexifactors for mathematical programs with equilibrium constraints. (English) Zbl 1431.90151 RAIRO, Oper. Res. 53, No. 5, 1617-1632 (2019). MSC: 90C30 90C46 49J52 × Cite Format Result Cite Review PDF Full Text: DOI
Kanzow, Christian; Steck, Daniel Quasi-variational inequalities in Banach spaces: theory and augmented Lagrangian methods. (English) Zbl 1430.49005 SIAM J. Optim. 29, No. 4, 3174-3200 (2019). MSC: 49J40 49J27 49J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ramos, Alberto Two new weak constraint qualifications for mathematical programs with equilibrium constraints and applications. (English) Zbl 1434.90215 J. Optim. Theory Appl. 183, No. 2, 566-591 (2019). MSC: 90C46 90C30 90C33 × Cite Format Result Cite Review PDF Full Text: DOI
Rauls, Anne-Therese; Ulbrich, Stefan Computation of a Bouligand generalized derivative for the solution operator of the obstacle problem. (English) Zbl 1425.49004 SIAM J. Control Optim. 57, No. 5, 3223-3248 (2019). MSC: 49J40 35J86 47H04 49J52 58C06 58E35 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Lei; Lin, Gui-hua; Zhao, Jing Wolfe-type duality for mathematical programs with equilibrium constraints. (English) Zbl 1434.90214 Acta Math. Appl. Sin., Engl. Ser. 35, No. 3, 532-540 (2019). MSC: 90C46 49N15 90C26 90C33 × Cite Format Result Cite Review PDF Full Text: DOI
Dempe, S.; Franke, S. Solution of bilevel optimization problems using the KKT approach. (English) Zbl 1427.90230 Optimization 68, No. 8, 1471-1489 (2019). MSC: 90C26 91A65 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Clason, Christian; Nhu, Vu Huu Bouligand-Landweber iteration for a non-smooth ill-posed problem. (English) Zbl 1418.49023 Numer. Math. 142, No. 4, 789-832 (2019). MSC: 49K20 49K40 90C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pang, Li-Ping; Meng, Fan-Yun; Xiao, Ze-Hao; Xu, Na Optimality conditions for vector optimization problem governed by the cone constrained generalized equations. (English) Zbl 1476.90301 Optimization 68, No. 5, 921-954 (2019). Reviewer: Ernö Robert Csetnek (Wien) MSC: 90C29 90C46 90C31 49J52 × Cite Format Result Cite Review PDF Full Text: DOI
Benita, Francisco; Mehlitz, Patrick Solving optimal control problems with terminal complementarity constraints via Scholtes’ relaxation scheme. (English) Zbl 1422.49024 Comput. Optim. Appl. 72, No. 2, 413-430 (2019). MSC: 49K15 49M20 49J45 × Cite Format Result Cite Review PDF Full Text: DOI
Jayswal, Anurag; Singh, Vivek Duality for multiobjective optimization problem with vanishing constraints. (English) Zbl 1462.90119 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 26, No. 1, 1-19 (2019). MSC: 90C29 90C46 26A51 49J35 × Cite Format Result Cite Review PDF Full Text: Link
Zhu, Xide; Zhang, Jin; Zhou, Jinchuan; Yang, Xinmin Mathematical programs with second-order cone complementarity constraints: strong stationarity and approximation method. (English) Zbl 1414.90335 J. Optim. Theory Appl. 181, No. 2, 521-540 (2019). MSC: 90C30 90C33 90C46 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Yue; Chen, Jein-Shan; Zhang, Ning No gap second-order optimality conditions for circular conic programs. (English) Zbl 1422.90054 Numer. Funct. Anal. Optim. 40, No. 10, 1113-1135 (2019). MSC: 90C30 90C46 × Cite Format Result Cite Review PDF Full Text: DOI
Hori, Atsushi; Fukushima, Masao Gauss-Seidel method for multi-leader-follower games. (English) Zbl 1419.91167 J. Optim. Theory Appl. 180, No. 2, 651-670 (2019). MSC: 91A65 91A06 91A10 90C33 × Cite Format Result Cite Review PDF Full Text: DOI
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. Directional differentiability for elliptic quasi-variational inequalities of obstacle type. (English) Zbl 1439.49014 Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 39, 47 p. (2019). Reviewer: Souvik Roy (Arlington) MSC: 49J40 49J52 49J50 47J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karmitsa, N.; Gaudioso, M.; Joki, K. Diagonal bundle method with convex and concave updates for large-scale nonconvex and nonsmooth optimization. (English) Zbl 1407.65063 Optim. Methods Softw. 34, No. 2, 363-382 (2019). MSC: 65K05 90C26 90C06 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system. (English) Zbl 1507.49027 Optim. Eng. 19, No. 3, 629-662 (2018). MSC: 49M25 65M60 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Haslinger, Jaroslav; Janovský, Vladimír; Kučera, Radek; Motyčková, Kristina Nonsmooth continuation of parameter dependent static contact problems with Coulomb friction. (English) Zbl 1485.74089 Math. Comput. Simul. 145, 62-78 (2018). MSC: 74S05 74M15 74M10 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yongchao Quantitative stability analysis of stochastic mathematical programs with vertical complementarity constraints. (English) Zbl 1411.90240 Numer. Algebra Control Optim. 8, No. 4, 451-460 (2018). MSC: 90C15 90C31 × Cite Format Result Cite Review PDF Full Text: DOI
Pandey, Yogendra; Mishra, S. K. Optimality conditions and duality for semi-infinite mathematical programming problems with equilibrium constraints, using convexificators. (English) Zbl 1434.90207 Ann. Oper. Res. 269, No. 1-2, 549-564 (2018). MSC: 90C34 90C46 49J52 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Jie; Lv, Jian; Guo, Fang-Fang; Gao, Ya-Li; Zhao, Rui A new proximal Chebychev center cutting plane algorithm for nonsmooth optimization and its convergence. (English) Zbl 1412.90115 J. Ind. Manag. Optim. 14, No. 3, 1143-1155 (2018). MSC: 90C25 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yi; Zhang, Liwei; Wu, Jia On the convergence properties of a smoothing approach for mathematical programs with symmetric cone complementarity constraints. (English) Zbl 1412.90154 J. Ind. Manag. Optim. 14, No. 3, 981-1005 (2018). MSC: 90C33 90C26 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Chiou, Suh-Wen A robust signal control system for equilibrium flow under uncertain travel demand and traffic delay. (English) Zbl 1406.93088 Automatica 96, 240-252 (2018). MSC: 93B35 93A30 90B20 93A15 93C95 × Cite Format Result Cite Review PDF Full Text: DOI
Christof, Constantin; Meyer, Christian; Walther, Stephan; Clason, Christian Optimal control of a non-smooth semilinear elliptic equation. (English) Zbl 1407.49026 Math. Control Relat. Fields 8, No. 1, 247-276 (2018). MSC: 49K20 49J52 49M15 35J61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Helou, Elias S.; Santos, Sandra A.; Simões, Lucas E. A. A fast gradient and function sampling method for finite-max functions. (English) Zbl 1414.90285 Comput. Optim. Appl. 71, No. 3, 673-717 (2018). MSC: 90C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Montonen, Outi; Joki, Kaisa Bundle-based descent method for nonsmooth multiobjective DC optimization with inequality constraints. (English) Zbl 1414.90317 J. Glob. Optim. 72, No. 3, 403-429 (2018). MSC: 90C29 90C26 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Gaoxi; Wan, Zhongping On bilevel programs with a convex lower-level problem violating Slater’s constraint qualification. (English) Zbl 1402.90190 J. Optim. Theory Appl. 179, No. 3, 820-837 (2018). MSC: 90C33 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Hejazi, M. Alavi; Movahedian, N.; Nobakhtian, S. On constraint qualifications and sensitivity analysis for general optimization problems via pseudo-Jacobians. (English) Zbl 1402.90205 J. Optim. Theory Appl. 179, No. 3, 778-799 (2018). MSC: 90C46 49J52 90C31 × Cite Format Result Cite Review PDF Full Text: DOI
Benita, Francisco; Mehlitz, Patrick Optimal control problems with terminal complementarity constraints. (English) Zbl 1404.49011 SIAM J. Optim. 28, No. 4, 3079-3104 (2018). MSC: 49K15 49K27 90C30 90C33 × Cite Format Result Cite Review PDF Full Text: DOI
Andreani, Roberto; Secchin, Leonardo D.; Silva, Paulo J. S. Convergence properties of a second order augmented Lagrangian method for mathematical programs with complementarity constraints. (English) Zbl 1406.90114 SIAM J. Optim. 28, No. 3, 2574-2600 (2018). MSC: 90C30 90C33 65K05 49M37 × Cite Format Result Cite Review PDF Full Text: DOI