  This paper aims at providing further studies of the notion of quasi-relative
interior for convex sets introduced by Borwein and Lewis. We obtain new
formulas for representing quasi-relative interiors of convex graphs of
set-valued mappings and for convex epigraphs of extended-real-valued functions
defined on locally convex topological vector spaces. We also show that the
role, which this notion plays in infinite dimensions and the results obtained
in this vein, are similar to those involving relative interior in
finite-dimensional spaces.
