Lower semicontinuous type regularity conditions for subdifferential calculus
We give a lower semicontinuous type regularity condition and a closedness type one which turn out to be necessary and sufficient for the fulfilment of two different formulae involving the epsilon-subdifferential of a perturbation function, respectively. These regularity conditions prove to be sufficient also for having formulae for the classical subdifferential of a perturbation function. Some recently published results concerning epsilon-subdifferentials are rediscovered as special cases.
regularity conditions conjugate functions convex subdifferentials stable strong duality composed convex functions