6 citations · 14 across the 10 of their papers we have counts for
12 papers
Subdifferential stability and subdifferential sum rules
Marc Lassonde
In the first part, we discuss the stability of the strong slope and of the subdifferential of a lower semicontinuous function with respect to Wijsman perturbations of the function,…
Links between functions and subdifferentials
Marc Lassonde
A function in a class is said to be subdifferentially determined in if it is equal up to an additive constant to any function in …
Limits of maximal monotone operators driven by their representative functions
Yboon Garcia, Marc Lassonde
In a previous paper, the authors showed that in a reflexive Banach space the lower limit of a sequence of maximal monotone operators is always representable by a convex function. T…
Upper semismooth functions and the subdifferential determination property
Marc Lassonde
In this paper, an upper semismooth function is defined to be a lower semicontinuous function whose radial subderivative satisfies a mild directional upper semicontinuity property.…
Subderivative-subdifferential duality formula
Marc Lassonde
We provide a formula linking the radial subderivative to other subderivatives and subdifferentials for arbitrary extended real-valued lower semicontinuous functions.
Convex KKM maps, monotone operators and Minty variational inequalities
Marc Lassonde
It is known that for convex sets, the KKM condition is equivalent to the finite intersection property. We use this equivalence to obtain a characterisation of monotone operators in…