M. Moussaoui et M. Volle, QUASICONTINUITY AND UNITED FRACTIONS IN C ONVEX DUALITY-THEORY, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(9), 1996, pp. 839-844
This Note is concerned with a duality result for the sum of two convex
functions which are not necessarily lower semicontinuous. It deals al
so with the duality and subdifferentiability for composite convex func
tions. Our approach is based on the use of the concepts of quasicontin
uous and united functions in the sense of Joly and Laurent.