On necessary minimum conditions in quasidifferential calculus: Independence of the specific choice of quasidifferentials

On necessary minimum conditions in quasidifferential calculus: Independence of the specific choice of quasidifferentials

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Article ID: iaor1992719
Country: Germany
Volume: 22
Start Page Number: 643
End Page Number: 660
Publication Date: Aug 1991
Journal: Optimization
Authors: , ,
Abstract:

Various necessary minimum conditions in quasidifferential calculus are compared. These conditions as well as regularity conditions and some estimates of directional derivatives are studied concerning their dependence on the special choice of a quasidifferential. Moreover, a generalized notion of quasidifferentiability for functions possibly having infinite directional derivatives is introduced.

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