QUASICONTINUITY AND UNITED FRACTIONS IN C ONVEX DUALITY-THEORY

Citation
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
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
07644442
Volume
322
Issue
9
Year of publication
1996
Pages
839 - 844
Database
ISI
SICI code
0764-4442(1996)322:9<839:QAUFIC>2.0.ZU;2-W
Abstract
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.