Abstract :
In this paper, we study a new enlargement of subdifferential
for any proper lower semicontinuous function. We know that
"-subdifferential of any proper lower semicontinuous function is an enlargement
of its subfifferential and any point from the graph of "-
subdifferential can be approximated by a point from the graph of subfifferential.
This nice property, apart from its theoretical importance,
gives also the possibility to use the enlargement of subdifferentials in
finding approximate solutions of inclusions determined by subdifferentials.
We define a new enlargement and observe, in the case subdifferentials,
the relation between this new enlargement and the "- subdifferential.