Publikationen

Masterarbeit

Mehlitz, P. Parametrische Optimierung in normierten Räumen
TU Bergakademie Freiberg, Oct. 2013.

Dissertationsschrift

Mehlitz, P. Contributions to complementarity and bilevel programming in Banach spaces TU Bergakademie Freiberg, July 2017, available via qucosa

Artikel in Fachzeitschriften

Dempe, S., Mefo Kue, F. und Mehlitz, P. Optimality Conditions for Special Semidefinite Bilevel Optimization Problems erscheint bei SIAM Journal on Optimization, 2018

Dempe, S., Mefo Kue, F. and Mehlitz, P. Optimality Conditions for Mixed Discrete Bilevel Optimization Problems Optimization, 2018, DOI: 10.1080/02331934.2018.1427092

Franke, S., Mehlitz, P. und Pilecka, M. Optimality conditions for the simple convex bilevel programming problem in Banach spaces Optimization, 2018, Vol. 67, Nr. 2, 237-268

Mehlitz, P. and Wachsmuth, G. The weak sequential closure of decomposable sets in Lebesgue spaces and its application to variational geometry Set-Valued and Variational Analysis, 2017, DOI: 10.1007/s11228-017-0464-1

Mehlitz, P. Necessary optimality conditions for a special class of bilevel programming problems with unique lower level solution Optimization, 2017, Vol. 66, Nr. 10, 1533-1562

Mehlitz, P. und Wachsmuth, G. The limiting normal cone to pointwise defined sets in Lebesgue spaces Set-valued and Variational Analysis, 2016, DOI: 10.1007/s11228-016-0393-4

Benita, F. und Mehlitz, P. Bilevel optimal control with final-state-dependent finite-dimensional lower level SIAM Journal on Optimization, 2016, Vol. 26, Nr. 1, 718–752

Benita, F., Dempe, S. und Mehlitz, P. Bilevel Optimal Control Problems with Pure State Constraints and Finite-dimensional Lower Level SIAM Journal on Optimization, 2016, Vol. 26, Nr. 1, 564-588

Mehlitz, P. Bilevel Programming Problems with Simple Convex Lower Level Optimization, 2016, Vol. 65, Nr. 6, 1203-1227

Mehlitz, P. und Wachsmuth, G. Weak and strong stationarity in generalized bilevel programming and bilevel optimal control Optimization, 2016, Vol. 65, Nr. 5, 907-935

Kalashnikov, V., Benita, F. und Mehlitz, P. The Natural Gas Cash-out Problem: A Bilevel Optimal Control Approach Mathematical Problems in Engineering, 2015, DOI:10.1155/2015/286083, 17 pages

Dempe, S. und Mehlitz, P. Lipschitz continuity of the optimal value function in parametric optimization
Journal of Global Optimization, 2015, Vol. 61, Nr. 2, 363-377

Preprints

Deng, Y., Mehlitz, P. und Prüfert, U. On an optimal control problem with gradient constraints Preprint TU Freiberg, Januar 2018, eingereicht bei ESAIM: Control, Optimisation and Calculus of Variations

Mehlitz, P. On the sequential normal compactness condition and its restrictiveness in selected function spaces Preprint TU Freiberg, Juli 2017, eingereicht bei Set-Valued and Variational Analysis

Benita, F. und Mehlitz, P. Optimal Control Problems with Terminal Complementarity Constraints Preprint TU Freiberg, updated in Juni 2017, eingereicht bei SIAM Journal on Optimization

Dempe, S., Mehlitz, P. und Saboiev, R. S. A Linear Bilevel Optimization Problem with Two-stage Stochastic Lower Level Preprint TU Freiberg, Oktober 2015

Dempe, S. und Mehlitz, P. A remark on semivectorial bilevel programming and an application in semivectorial bilevel optimal control Preprint TU Freiberg, November 2014.