On Minimax Theorems for Lower Semicontinuous Functions in Hilbert Spaces
Ewa M. Bednarczuk, Monika Syga · Journal of convex analysis · 2018
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.