Abstract
We prove minimax theorems for lower semicontinuous functions defined on a Hilbert space. The main tools are the theory of Φ-convex functions and sufficient and necessary conditions for the minimax equality for general Φ-convex functions. The conditions we propose are expressed in terms of abstract Φ-subgradients.
Author information
Contact details are reproduced from the original publication and may be historical.
Ewa Bednarczuk
System Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland
and: Faculty of Mathematics and Information Science, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warsaw, Poland
Ewa.Bednarczuk@ibspan.waw.plMonika Syga
Faculty of Mathematics and Information Science, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warsaw, Poland
M.Syga@mini.pw.edu.plSuggested citation
E. Bednarczuk, M. Syga. “On Minimax Theorems for Lower Semicontinuous Functions in Hilbert Spaces.” Journal of Convex Analysis 25 (2018), No. 2, 389–402. https://doi.org/10.68381/jca25027
Published by Heldermann Verlag, 2018. Rights now held by Banach Press.
Ewa Bednarczuk