论文信息 - Normal Cones to Sublevel Sets: An Axiomatic Approach

Normal Cones to Sublevel Sets: An Axiomatic Approach

An axiomatic approach of normal operators to sublevel sets is given. Considering the Clarke-Rockafellar subdifferential (resp. quasiconvex functions), the definition given in [4] (resp. [5]) is recovered. Moreover, the results obtained in [4] are extended in this more general setting. Under mild assumptions, quasiconvex continuous functions are classified, establishing an equivalence relation between functions with the same normal operator. Applications in pseudoconvexity are also discussed.

Didier Aussel | Aris Daniilidis

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