Patrick Mehlitz

490 total citations
38 papers, 233 citations indexed

About

Patrick Mehlitz is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Geometry and Topology. According to data from OpenAlex, Patrick Mehlitz has authored 38 papers receiving a total of 233 indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Computational Theory and Mathematics, 21 papers in Numerical Analysis and 10 papers in Geometry and Topology. Recurrent topics in Patrick Mehlitz's work include Optimization and Variational Analysis (33 papers), Advanced Optimization Algorithms Research (21 papers) and Fixed Point Theorems Analysis (10 papers). Patrick Mehlitz is often cited by papers focused on Optimization and Variational Analysis (33 papers), Advanced Optimization Algorithms Research (21 papers) and Fixed Point Theorems Analysis (10 papers). Patrick Mehlitz collaborates with scholars based in Germany, Austria and United States. Patrick Mehlitz's co-authors include Gerd Wachsmuth, Stephan Dempe, Francisco Benita, Christian Kanzow, Daniel J. Steck, Vyacheslav V. Kalashnikov, Alexander Y. Kruger, Lateef Olakunle Jolaoso, Alain B. Zemkoho and Yu Deng and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Mathematical Programming and SIAM Journal on Control and Optimization.

In The Last Decade

Patrick Mehlitz

35 papers receiving 212 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Patrick Mehlitz Germany 11 182 128 57 38 31 38 233
Aleksandr Moiseevich Rubinov Australia 5 214 1.2× 193 1.5× 56 1.0× 73 1.9× 41 1.3× 6 363
Robert Baier Germany 11 162 0.9× 134 1.0× 152 2.7× 41 1.1× 37 1.2× 29 368
Rong Hu China 10 340 1.9× 121 0.9× 26 0.5× 55 1.4× 45 1.5× 53 400
Michael V. Solodov Brazil 5 265 1.5× 205 1.6× 38 0.7× 58 1.5× 17 0.5× 5 364
R. Tichatschke Germany 11 323 1.8× 263 2.1× 54 0.9× 79 2.1× 70 2.3× 43 403
Jefferson G. Melo Brazil 10 183 1.0× 217 1.7× 21 0.4× 151 4.0× 38 1.2× 26 293
Mounir Haddou France 9 274 1.5× 272 2.1× 51 0.9× 131 3.4× 14 0.5× 26 402
S.J. Li China 10 339 1.9× 327 2.6× 53 0.9× 122 3.2× 54 1.7× 29 490
A. Kaplan Germany 9 243 1.3× 199 1.6× 25 0.4× 59 1.6× 80 2.6× 39 303
Nuttapol Pakkaranang Thailand 10 166 0.9× 174 1.4× 15 0.3× 69 1.8× 38 1.2× 60 280

Countries citing papers authored by Patrick Mehlitz

Since Specialization
Citations

This map shows the geographic impact of Patrick Mehlitz's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Patrick Mehlitz with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Patrick Mehlitz more than expected).

Fields of papers citing papers by Patrick Mehlitz

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Patrick Mehlitz. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Patrick Mehlitz. The network helps show where Patrick Mehlitz may publish in the future.

Co-authorship network of co-authors of Patrick Mehlitz

This figure shows the co-authorship network connecting the top 25 collaborators of Patrick Mehlitz. A scholar is included among the top collaborators of Patrick Mehlitz based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Patrick Mehlitz. Patrick Mehlitz is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Kanzow, Christian, et al.. (2025). Variational Poisson denoising via augmented Lagrangian methods. ETNA - Electronic Transactions on Numerical Analysis. 63. 33–62.
2.
Dempe, Stephan & Patrick Mehlitz. (2025). Duality-Based Single-Level Reformulations of Bilevel Optimization Problems. Journal of Optimization Theory and Applications. 205(2). 1 indexed citations
3.
Mehlitz, Patrick, et al.. (2024). Isolated Calmness of Perturbation Mappings and Superlinear Convergence of Newton-Type Methods. Journal of Optimization Theory and Applications. 203(2). 1587–1621. 1 indexed citations
4.
Mehlitz, Patrick, et al.. (2024). On the directional asymptotic approach in optimization theory. Mathematical Programming. 209(1-2). 859–937. 3 indexed citations
5.
Kanzow, Christian, et al.. (2023). Convergence Analysis of the Proximal Gradient Method in the Presence of the Kurdyka–Łojasiewicz Property Without Global Lipschitz Assumptions. SIAM Journal on Optimization. 33(4). 3038–3056. 5 indexed citations
6.
Mehlitz, Patrick. (2023). A simple proof of second-order sufficient optimality conditions in nonlinear semidefinite optimization. Optimization Letters. 18(4). 965–976.
7.
Kanzow, Christian, et al.. (2023). Constrained composite optimization and augmented Lagrangian methods. Mathematical Programming. 201(1-2). 863–896. 11 indexed citations
8.
Mehlitz, Patrick, et al.. (2022). Set-Valued and Variational Analysis / Calmness and Calculus: Two Basic Patterns. University Library Linz repository (Johannes Kepler Universitat Linz). 3 indexed citations
9.
Kanzow, Christian, et al.. (2022). An augmented Lagrangian method for optimization problems with structured geometric constraints. Mathematical Programming. 199(1-2). 1365–1415. 20 indexed citations
10.
Mehlitz, Patrick & Gerd Wachsmuth. (2022). Subdifferentiation of Nonconvex Sparsity-Promoting Functionals on Lebesgue Spaces. SIAM Journal on Control and Optimization. 60(3). 1819–1839. 2 indexed citations
11.
Mehlitz, Patrick. (2020). Asymptotic stationarity and regularity for nonsmooth optimization problems. arXiv (Cornell University). Volume 1(Original research articles). 12 indexed citations
12.
Mehlitz, Patrick. (2019). Stationarity conditions and constraint qualifications for mathematical programs with switching constraints. Mathematical Programming. 181(1). 149–186. 20 indexed citations
13.
Dempe, Stephan & Patrick Mehlitz. (2019). Semivectorial bilevel programming versus scalar bilevel programming. Optimization. 69(4). 657–679. 15 indexed citations
14.
Dempe, Stephan, et al.. (2019). Solving inverse optimal control problems via value functions to global optimality. Journal of Global Optimization. 74(2). 297–325. 10 indexed citations
15.
Deng, Yu, et al.. (2019). Optimal control in first-order Sobolev spaces with inequality constraints. Computational Optimization and Applications. 72(3). 797–826. 3 indexed citations
16.
Benita, Francisco & Patrick Mehlitz. (2018). Optimal Control Problems with Terminal Complementarity Constraints. SIAM Journal on Optimization. 28(4). 3079–3104. 2 indexed citations
17.
Dempe, Stephan, et al.. (2018). Optimality Conditions for Special Semidefinite Bilevel Optimization Problems. SIAM Journal on Optimization. 28(2). 1564–1587. 1 indexed citations
18.
Mehlitz, Patrick, et al.. (2017). Optimality conditions for the simple convex bilevel programming problem in Banach spaces. Optimization. 67(2). 237–268. 9 indexed citations
19.
Mehlitz, Patrick & Gerd Wachsmuth. (2017). The Weak Sequential Closure of Decomposable Sets in Lebesgue Spaces and its Application to Variational Geometry. Set-Valued and Variational Analysis. 27(1). 265–294. 5 indexed citations
20.
Mehlitz, Patrick & Gerd Wachsmuth. (2016). The Limiting Normal Cone to Pointwise Defined Sets in Lebesgue Spaces. Set-Valued and Variational Analysis. 26(3). 449–467. 14 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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