Journal of Convex Analysis, Vol. 6, No. 1, pp. 1-12 (1999)

A New Subdifferential in Quasiconvex Analysis

J. E. Martinez-Legaz and P. H. Sach

Departament d'Economia i d'Historia Economica and CODE, Universitat Autonoma de Barcelona, Edifici B, 08193 Bellaterra, Barcelona, Spain, JuanEnrique.Martinez@uab.es, phsach@ioit.ncst.ac.vn

Abstract: 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 Greenbeg-Pierskalla quasi-subdifferential and is therefore useful in quasiconvex analysis.

Keywords: Greenberg-Pierskalla quasi-subdifferential, Frechet subdifferential, quasiconvexity

Classification (MSC2000): 26B25; 28A15

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