About
Johannes Jahn is a retired „Universitätsprofessor“ formerly working at the Department of Mathematics of the Friedrich-Alexander University (FAU) of Erlangen-Nürnberg (Germany). His research interests are theory and numerical methods in nonlinear optimization, vector optimization and set optimization. In recent years, the scope of this research has expanded to include further development of optimization for artificial intelligence issues.
He is the editor of the Springer series Vector Optimization
and a member of the editorial board of the journals
- Journal of Optimization Theory and Applications
- Computational Optimization and Applications
- Journal of Nonlinear and Variational Analysis
- Ilirias Journal of Mathematics
Selected publications are
(a) books:
- Order Analysis, Deep Learning, and Connections to Optimization (Springer, Cham, 2024, 181 pages).
This book, with 63 colour illustrations, is available here.
- Vector Optimization – Theory, Applications, and Extensions (Springer, Berlin, 2004, 2011, 481 pages).
- Introduction to the Theory of Nonlinear Optimization (Springer, Berlin, 1994, 1996, 2007, 292 pages; Springer, Cham, 2020, 323 pages).
This fourth edition is available here. The ebook version uses a colour design whereas in the hardcover version colours are converted into greyscales. Previews of the ebook are given here: Preview 1 and Preview 2.
(b) recent research papers:
- “Some notes about a relative order relation used in unsupervised deep learning”, Journal of Applied and Numerical Optimization 7 (2025) 141–148.
- (with T.X.D. Ha) “Bishop-Phelps cones given by an equation in Banach spaces”, Optimization 72 (2023) 1309–1346.
- “A unified approach to Bishop-Phelps and scalarizing functionals”, Journal of Applied and Numerical Optimization 5 (2023) 5–25.