Maximal Monotonicity and Cyclic Involutivity of Multiconjugate Convex Functions
Maximal Monotonicity and Cyclic Involutivity of Multiconjugate Convex Functions
A cornerstone in convex analysis is the crucial relationship between functions and their convex conjugate via the Fenchel–Young inequality. In this dual variable setting, the maximal monotonicity of the contact set is due to the involution holding for convex lower-semicontinuous functions defined on any Hilbert space. We investigate the validity …