Edit Profile (opens in new tab) Mehlitz, Patrick Co-Author Distance Author ID: mehlitz.patrick Published as: Mehlitz, Patrick; Mehlitz, P. Homepage: https://www.b-tu.de/fg-optimale-steuerung/team/pd-dr-patrick-mehlitz External Links: MGP · ORCID Documents Indexed: 56 Publications since 2015, including 14 Additional arXiv Preprints Co-Authors: 28 Co-Authors with 47 Joint Publications 504 Co-Co-Authors all top 5 Co-Authors 9 single-authored 12 Wachsmuth, Gerd 8 Dempe, Stephan 7 Benko, Matus 7 Kanzow, Christian 5 Benita, Francisco 4 Deng, Yu 4 Harder, Felix 4 Prüfert, Uwe 3 Jia, Xiaoxi 3 Zemkoho, Alain B. 2 De Marchi, Alberto 2 Franke, Susanne 2 Kruger, Alexander Y. 2 Minchenko, Leonid Ivanovich 1 Börgens, Eike 1 Clason, Christian 1 Fabian, Marián J. 1 Friedemann, Markus 1 Göttlich, Simone 1 Hoff, Daniel J. 1 Jolaoso, Lateef Olakunle O. 1 Kalashnikov, Vyacheslav Vitalievich 1 Krämer, Fabius 1 Kue, Floriane Mefo 1 Mefo Kue, F. 1 Pilecka, Maria 1 Schillinger, Thomas 1 Steck, Daniel Daniel all top 5 Serials 10 Optimization 7 SIAM Journal on Optimization 5 Set-Valued and Variational Analysis 3 Mathematical Programming. Series A. Series B 3 Computational Optimization and Applications 2 Journal of Global Optimization 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Optimization Methods & Software 1 Journal of Mathematical Analysis and Applications 1 Journal of Optimization Theory and Applications 1 Mathematics of Operations Research 1 SIAM Journal on Control and Optimization 1 Journal of Convex Analysis 1 Mathematical Problems in Engineering all top 5 Fields 48 Operations research, mathematical programming (90-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 8 Numerical analysis (65-XX) 3 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 251 times in 120 Documents Cited by ▼ Year ▼ Weak and strong stationarity in generalized bilevel programming and bilevel optimal control. Zbl 1367.90120 Mehlitz, Patrick; Wachsmuth, Gerd 21 2016 Stationarity conditions and constraint qualifications for mathematical programs with switching constraints. With applications to either-or-constrained programming. Zbl 1480.90230 Mehlitz, Patrick 18 2020 On the linear independence constraint qualification in disjunctive programming. Zbl 1528.90258 Mehlitz, Patrick 17 2020 Semivectorial bilevel programming versus scalar bilevel programming. Zbl 1453.49003 Dempe, Stephan; Mehlitz, Patrick 16 2020 The limiting normal cone to pointwise defined sets in Lebesgue spaces. Zbl 1401.49018 Mehlitz, Patrick; Wachsmuth, Gerd 16 2018 Bilevel optimal control with final-state-dependent finite-dimensional lower level. Zbl 1333.49008 Benita, F.; Mehlitz, P. 14 2016 Solving inverse optimal control problems via value functions to global optimality. Zbl 1417.49047 Dempe, Stephan; Harder, Felix; Mehlitz, Patrick; Wachsmuth, Gerd 12 2019 Bilevel optimal control problems with pure state constraints and finite-dimensional lower level. Zbl 1339.49020 Benita, F.; Dempe, S.; Mehlitz, P. 11 2016 New constraint qualifications for optimization problems in Banach spaces based on asymptotic KKT conditions. Zbl 1453.90182 Börgens, Eike; Kanzow, Christian; Mehlitz, Patrick; Wachsmuth, Gerd 11 2020 Necessary optimality conditions for a special class of bilevel programming problems with unique lower level solution. Zbl 1421.90141 Mehlitz, Patrick 10 2017 The natural gas cash-out problem: a bilevel optimal control approach. Zbl 1394.49037 Kalashnikov, Vyacheslav V.; Benita, Francisco; Mehlitz, Patrick 9 2015 On the sequential normal compactness condition and its restrictiveness in selected function spaces. Zbl 1428.49019 Mehlitz, Patrick 8 2019 Optimal control problems with control complementarity constraints: existence results, optimality conditions, and a penalty method. Zbl 1429.49025 Clason, Christian; Deng, Yu; Mehlitz, Patrick; Prüfert, Uwe 8 2020 Relaxation schemes for mathematical programmes with switching constraints. Zbl 1489.65086 Kanzow, Christian; Mehlitz, Patrick; Steck, Daniel 8 2021 Optimality conditions for the simple convex bilevel programming problem in Banach spaces. Zbl 1422.90035 Franke, Susanne; Mehlitz, Patrick; Pilecka, Maria 7 2018 Lipschitz continuity of the optimal value function in parametric optimization. Zbl 1342.90199 Dempe, S.; Mehlitz, P. 7 2015 An augmented Lagrangian method for optimization problems with structured geometric constraints. Zbl 1518.90060 Jia, Xiaoxi; Kanzow, Christian; Mehlitz, Patrick; Wachsmuth, Gerd 6 2023 Optimal control in first-order Sobolev spaces with inequality constraints. Zbl 1422.49026 Deng, Yu; Mehlitz, Patrick; Prüfert, Uwe 6 2019 The weak sequential closure of decomposable sets in Lebesgue spaces and its application to variational geometry. Zbl 1415.49014 Mehlitz, Patrick; Wachsmuth, Gerd 5 2019 Reformulation of the M-stationarity conditions as a system of discontinuous equations and its solution by a semismooth Newton method. Zbl 1467.49024 Harder, Felix; Mehlitz, Patrick; Wachsmuth, Gerd 4 2021 Bilevel programming problems with simple convex lower level. Zbl 1338.49044 Mehlitz, Patrick 3 2016 Bilevel optimal control: existence results and stationarity conditions. Zbl 1479.49083 Mehlitz, Patrick; Wachsmuth, Gerd 3 2020 Constrained composite optimization and augmented Lagrangian methods. Zbl 1522.90197 De Marchi, Alberto; Jia, Xiaoxi; Kanzow, Christian; Mehlitz, Patrick 3 2023 Why second-order sufficient conditions are, in a way, easy – or – revisiting the calculus for second subderivatives. Zbl 1521.49015 Benko, Matús; Mehlitz, Patrick 3 2023 A comparison of solution approaches for the numerical treatment of or-constrained optimization problems. Zbl 1461.65175 Mehlitz, Patrick 3 2020 Convergence properties of monotone and nonmonotone proximal gradient methods revisited. Zbl 1506.90246 Kanzow, Christian; Mehlitz, Patrick 3 2022 R-regularity of set-valued mappings under the relaxed constant positive linear dependence constraint qualification with applications to parametric and bilevel optimization. Zbl 1484.49035 Mehlitz, Patrick; Minchenko, Leonid I. 3 2022 Optimal control problems with terminal complementarity constraints. Zbl 1404.49011 Benita, Francisco; Mehlitz, Patrick 3 2018 Optimality conditions for mixed discrete bilevel optimization problems. Zbl 1407.90337 Dempe, S.; Mefo Kue, F.; Mehlitz, P. 2 2018 Sufficient optimality conditions in bilevel programming. Zbl 1489.90189 Mehlitz, Patrick; Zemkoho, Alain B. 2 2021 Calmness and calculus: two basic patterns. Zbl 1484.49026 Benko, Matúš; Mehlitz, Patrick 2 2022 Optimality conditions, approximate stationarity, and applications – a story beyond Lipschitzness. Zbl 1494.49005 Kruger, Alexander Y.; Mehlitz, Patrick 2 2022 Subdifferentiation of nonconvex sparsity-promoting functionals on Lebesgue spaces. Zbl 1510.49011 Mehlitz, Patrick; Wachsmuth, Gerd 2 2022 Optimality conditions for special semidefinite bilevel optimization problems. Zbl 1397.90295 Dempe, Stephan; Kue, Floriane Mefo; Mehlitz, Patrick 1 2018 On an optimal control problem with gradient constraints. Zbl 1437.49034 Deng, Yu; Mehlitz, Patrick; Prüfert, Uwe 1 2020 Solving optimal control problems with terminal complementarity constraints via Scholtes’ relaxation scheme. Zbl 1422.49024 Benita, Francisco; Mehlitz, Patrick 1 2019 An augmented Lagrangian method for optimization problems with structured geometric constraints. Zbl 1518.90060 Jia, Xiaoxi; Kanzow, Christian; Mehlitz, Patrick; Wachsmuth, Gerd 6 2023 Constrained composite optimization and augmented Lagrangian methods. Zbl 1522.90197 De Marchi, Alberto; Jia, Xiaoxi; Kanzow, Christian; Mehlitz, Patrick 3 2023 Why second-order sufficient conditions are, in a way, easy – or – revisiting the calculus for second subderivatives. Zbl 1521.49015 Benko, Matús; Mehlitz, Patrick 3 2023 Convergence properties of monotone and nonmonotone proximal gradient methods revisited. Zbl 1506.90246 Kanzow, Christian; Mehlitz, Patrick 3 2022 R-regularity of set-valued mappings under the relaxed constant positive linear dependence constraint qualification with applications to parametric and bilevel optimization. Zbl 1484.49035 Mehlitz, Patrick; Minchenko, Leonid I. 3 2022 Calmness and calculus: two basic patterns. Zbl 1484.49026 Benko, Matúš; Mehlitz, Patrick 2 2022 Optimality conditions, approximate stationarity, and applications – a story beyond Lipschitzness. Zbl 1494.49005 Kruger, Alexander Y.; Mehlitz, Patrick 2 2022 Subdifferentiation of nonconvex sparsity-promoting functionals on Lebesgue spaces. Zbl 1510.49011 Mehlitz, Patrick; Wachsmuth, Gerd 2 2022 Relaxation schemes for mathematical programmes with switching constraints. Zbl 1489.65086 Kanzow, Christian; Mehlitz, Patrick; Steck, Daniel 8 2021 Reformulation of the M-stationarity conditions as a system of discontinuous equations and its solution by a semismooth Newton method. Zbl 1467.49024 Harder, Felix; Mehlitz, Patrick; Wachsmuth, Gerd 4 2021 Sufficient optimality conditions in bilevel programming. Zbl 1489.90189 Mehlitz, Patrick; Zemkoho, Alain B. 2 2021 Stationarity conditions and constraint qualifications for mathematical programs with switching constraints. With applications to either-or-constrained programming. Zbl 1480.90230 Mehlitz, Patrick 18 2020 On the linear independence constraint qualification in disjunctive programming. Zbl 1528.90258 Mehlitz, Patrick 17 2020 Semivectorial bilevel programming versus scalar bilevel programming. Zbl 1453.49003 Dempe, Stephan; Mehlitz, Patrick 16 2020 New constraint qualifications for optimization problems in Banach spaces based on asymptotic KKT conditions. Zbl 1453.90182 Börgens, Eike; Kanzow, Christian; Mehlitz, Patrick; Wachsmuth, Gerd 11 2020 Optimal control problems with control complementarity constraints: existence results, optimality conditions, and a penalty method. Zbl 1429.49025 Clason, Christian; Deng, Yu; Mehlitz, Patrick; Prüfert, Uwe 8 2020 Bilevel optimal control: existence results and stationarity conditions. Zbl 1479.49083 Mehlitz, Patrick; Wachsmuth, Gerd 3 2020 A comparison of solution approaches for the numerical treatment of or-constrained optimization problems. Zbl 1461.65175 Mehlitz, Patrick 3 2020 On an optimal control problem with gradient constraints. Zbl 1437.49034 Deng, Yu; Mehlitz, Patrick; Prüfert, Uwe 1 2020 Solving inverse optimal control problems via value functions to global optimality. Zbl 1417.49047 Dempe, Stephan; Harder, Felix; Mehlitz, Patrick; Wachsmuth, Gerd 12 2019 On the sequential normal compactness condition and its restrictiveness in selected function spaces. Zbl 1428.49019 Mehlitz, Patrick 8 2019 Optimal control in first-order Sobolev spaces with inequality constraints. Zbl 1422.49026 Deng, Yu; Mehlitz, Patrick; Prüfert, Uwe 6 2019 The weak sequential closure of decomposable sets in Lebesgue spaces and its application to variational geometry. Zbl 1415.49014 Mehlitz, Patrick; Wachsmuth, Gerd 5 2019 Solving optimal control problems with terminal complementarity constraints via Scholtes’ relaxation scheme. Zbl 1422.49024 Benita, Francisco; Mehlitz, Patrick 1 2019 The limiting normal cone to pointwise defined sets in Lebesgue spaces. Zbl 1401.49018 Mehlitz, Patrick; Wachsmuth, Gerd 16 2018 Optimality conditions for the simple convex bilevel programming problem in Banach spaces. Zbl 1422.90035 Franke, Susanne; Mehlitz, Patrick; Pilecka, Maria 7 2018 Optimal control problems with terminal complementarity constraints. Zbl 1404.49011 Benita, Francisco; Mehlitz, Patrick 3 2018 Optimality conditions for mixed discrete bilevel optimization problems. Zbl 1407.90337 Dempe, S.; Mefo Kue, F.; Mehlitz, P. 2 2018 Optimality conditions for special semidefinite bilevel optimization problems. Zbl 1397.90295 Dempe, Stephan; Kue, Floriane Mefo; Mehlitz, Patrick 1 2018 Necessary optimality conditions for a special class of bilevel programming problems with unique lower level solution. Zbl 1421.90141 Mehlitz, Patrick 10 2017 Weak and strong stationarity in generalized bilevel programming and bilevel optimal control. Zbl 1367.90120 Mehlitz, Patrick; Wachsmuth, Gerd 21 2016 Bilevel optimal control with final-state-dependent finite-dimensional lower level. Zbl 1333.49008 Benita, F.; Mehlitz, P. 14 2016 Bilevel optimal control problems with pure state constraints and finite-dimensional lower level. Zbl 1339.49020 Benita, F.; Dempe, S.; Mehlitz, P. 11 2016 Bilevel programming problems with simple convex lower level. Zbl 1338.49044 Mehlitz, Patrick 3 2016 The natural gas cash-out problem: a bilevel optimal control approach. Zbl 1394.49037 Kalashnikov, Vyacheslav V.; Benita, Francisco; Mehlitz, Patrick 9 2015 Lipschitz continuity of the optimal value function in parametric optimization. Zbl 1342.90199 Dempe, S.; Mehlitz, P. 7 2015 all cited Publications top 5 cited Publications all top 5 Cited by 141 Authors 36 Mehlitz, Patrick 16 Wachsmuth, Gerd 9 Kanzow, Christian 8 Dempe, Stephan 8 Harder, Felix 7 Ye, Jane J. 7 Zemkoho, Alain B. 6 Gadhi, Nazih Abderrazzak 5 Benita, Francisco 5 Hadri, Aissam 4 Afraites, Lekbir 4 Benko, Matus 4 Deng, Yu 4 El Idrissi, Mohammed 4 Laghrib, Amine 4 Li, Gaoxi 4 Nachaoui, Mourad 4 Prüfert, Uwe 3 Andreani, Roberto 3 Gfrerer, Helmut 3 Haeser, Gabriel 3 Jia, Xiaoxi 3 Lafhim, Lahoussine 3 Mito, Leonardo M. 2 Bednarczuk, Ewa M. 2 Christof, Constantin 2 Clason, Christian 2 Eichfelder, Gabriele 2 Hang, Nguyen T. V. 2 Hoheisel, Tim 2 Jafariani, Zahra 2 Kanzi, Nader 2 Kruger, Alexander Y. 2 Leśniewski, Krzysztof W. 2 Parizi, Maryam Naderi 2 Ramírez, Héctor C. 2 Rutkowski, Krzysztof E. 2 Schwartz, Alexandra 2 Shikhman, Vladimir 2 Upadhyay, Balendu Bhooshan 2 Zhang, Jin 2 Zhou, Jinchuan 2 Zhou, Shenglong 1 Abbasov, Majid E. 1 Afanador, Juan 1 Alves, Maria João 1 Anh, Lam Quoc 1 Anh, Nguyen Le Hoang 1 Baptista, Murilo S. 1 Börgens, Eike 1 Borges, Pedro Castro 1 Brogliato, Bernard 1 Červinka, Michal 1 Chavas, Jean-Paul 1 Chen, Fan 1 Chen, Huajie 1 Collonge, Julien 1 De Marchi, Alberto 1 Duy, Tran Quoc 1 El Hakoume, Abdelmajid 1 Fabian, Marián J. 1 Franke, Susanne 1 Friedemann, Markus 1 Ghosh, Arnav 1 Gómez Bofill, Walter 1 Günzel, Harald 1 Guo, Lei 1 Hamdaoui, Khadija 1 Helou, Elias Salomão 1 Henggeler Antunes, Carlos 1 Hernández Escobar, Daniel 1 Hu, Yukuan 1 Huang, Yingquan 1 Jung, Woosuk L. 1 Kailey, Navdeep 1 Kalashnikov, Vyacheslav Vitalievich 1 Khalfi, Hamza 1 Khalil, Nathalie T. 1 Kim, Youngdae 1 Kue, Floriane Mefo 1 Lämmel, Sebastian 1 Lapucci, Matteo 1 Lê Dung Muu 1 Lechner, Theresa 1 Leyffer, Sven 1 Li, Qingna 1 Li, Zhen 1 Liang, Yanchao 1 Liu, Xin 1 Lobo Pereira, Fernando 1 Luo, Jianfeng 1 Ma, Xiaoxiao 1 Meyer, Christian 1 Mordukhovich, Boris S. 1 Movahedian, Nooshin 1 Munson, Todd S. 1 Nobakhtian, Soghra 1 Ochoa, Pablo D. 1 Ohda, Mohamed 1 Oren, Nir ...and 41 more Authors all top 5 Cited in 38 Serials 13 Optimization 13 SIAM Journal on Optimization 11 Set-Valued and Variational Analysis 9 Computational Optimization and Applications 7 Journal of Optimization Theory and Applications 5 Mathematical Programming. Series A. Series B 4 Positivity 4 Journal of Industrial and Management Optimization 3 Journal of Mathematical Analysis and Applications 3 Mathematics of Operations Research 3 SIAM Journal on Control and Optimization 3 Journal of Global Optimization 3 Journal of Convex Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Optimization Methods & Software 2 Numerical Functional Analysis and Optimization 2 Optimization Letters 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Optimization 1 Optimal Control Applications & Methods 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 AI Communications 1 European Journal of Operational Research 1 SIAM Review 1 SIAM Journal on Scientific Computing 1 Mathematical Problems in Engineering 1 Mathematical Methods of Operations Research 1 RAIRO. Operations Research 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Communications on Pure and Applied Analysis 1 GAMM-Mitteilungen 1 Inverse Problems and Imaging 1 Mathematical Control and Related Fields 1 Journal of Mathematical Extension 1 EURO Journal on Computational Optimization 1 Journal of the Operations Research Society of China all top 5 Cited in 17 Fields 104 Operations research, mathematical programming (90-XX) 70 Calculus of variations and optimal control; optimization (49-XX) 19 Numerical analysis (65-XX) 7 Partial differential equations (35-XX) 6 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 3 Measure and integration (28-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Citations by Year