A MOREAU-YOSIDA REGULARIZATION OF A DIFFERENCE OF TWO CONVEX FUNCTIONS ∗
Abdelouahed Hamdi · 2005
We present a scheme to minimize a difference of two convex functions by solving a variational problem. The proposed scheme uses a proximal regularization step (see [8]) to construct a translated fixed point iteration. It can be seen as a descent scheme which takes into consideration the convex properties of the two convex functions separately. A direct application of the proposed algorithm to variational inclusion is given. 1