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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'HistÚria EconÚmica, Universitat AutÚnoma de Barcelona, 08193 Bellaterra - Barcelona, Spain

P. H. Sach
Dep. d'Economia i d'HistÚria EconÚmica, Universitat AutÚnoma 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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