Lower semicontinuous type regularity conditions for subdifferential calculus
Radu Ioan Boţ, Sorin‐Mihai Grad · Optimization methods & software · 2009
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 ϵ-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 ϵ-subdifferentials are rediscovered as special cases.