Journal of Convex Analysis 06 (1999), No. 1, 001--012
Copyright Heldermann Verlag 1999
A New Subdifferential in Quasiconvex Analysis
J. E. Martinez-Legaz
Dep. d'Economia i d'Història Econòmica, Universitat Autònoma de Barcelona, 08193 Bellaterra - Barcelona, Spain
P. H. Sach
Dep. d'Economia i d'Història Econòmica, Universitat Autònoma de Barcelona, 08193 Bellaterra - Barcelona, Spain
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.
Keywords: Greenberg-Pierskalla quasi-subdifferential, Frechet subdifferential, quasiconvexity.
MSC: 26B25; 28A15
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