ON THE CONTINUITY OF THE KERNEL OF INVEX FUNCTIONS

For an invex function, it usually suffices that a kernel merely exists , with no need for any restrictions on the kernel. However, this is no t always the case. We present here several situations where some degre e of continuity is required and establish conditions sufficient for bo th existence and non-existence of a continuous kernel. (C) 1996 Academ ic Press, Inc.