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Correa, R. A.; Jofre, A.

Tangencially continuous directional derivatives in nonsmooth analysis. (English) Zbl 0644.49016

J. Optimization Theory Appl. 61, No. 1, 1-21 (1989).
We introduce a new class of nonsmooth functions in terms of a continuity property of the usual directional derivative. Under this approach, we study the subregular and the semismooth functions. Finally, we give conditions for a marginal function to be subregular and semismooth.
Reviewer: R.A.Correa

Cited in 14 Documents

MSC:

49J52 Nonsmooth analysis
26B05 Continuity and differentiation questions
90C30 Nonlinear programming

Keywords:

nonsmooth functions; directional derivative; subregular functions; semismooth functions
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References:

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