LOCAL INTEGRATION OF PROX-REGULAR FUNCTIONS IN HILBERT SPACES

v), the functions difier by an additive constant. The class of prox-regular functions includes all convex functions, all qualifled convexly composite functions (i.e. with an appropriate constraint qualiflcation) and all pln functions. This result represents an improvement over previous results since the class of prox-regular functions is strictly bigger than the class of pln functions (an example is provided in this paper).