We introduce a new notion of subdifferential, which we call Q-subdifferential, for functions defined on subsets of normed spaces. The Q-subdifferential is a subset of the Greenberg-Pierskalla quasi-subdifferential and is therefore useful in quasiconvex analysis.
Author information
Contact details are reproduced from the original publication and may be historical.
JE
J. E. Martinez-Legaz
Dep. d'Economia i d'Història Econòmica, Universitat Autònoma de Barcelona, 08193 Bellaterra - Barcelona, Spain
PH
P. H. Sach
Dep. d'Economia i d'Història Econòmica, Universitat Autònoma de Barcelona, 08193 Bellaterra - Barcelona, Spain
Keywords
Greenberg-Pierskalla quasi-subdifferential
Frechet subdifferential
quasiconvexity
Mathematics Subject Classification
26B25; 28A15
Suggested citation
J. E. Martinez-Legaz, P. H. Sach. “A New Subdifferential in Quasiconvex Analysis.” Journal of Convex Analysis 6 (1999), No. 1, 1–12.