Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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SOME NOTES ON SEMIDIFFERENTIABILITY AND GENERALIZED SUBDIFFERENTIALS

PHAM HONG QUANG

pp. 79-90

Abstract

The notion of generalized semiderivative is studied. Some necessary or sufficient conditions for $\mathcal G$-semidifferentiability, for compactness of $\mathcal C$-subdifferentials and the relationship between these notions and the others are established.