Existence theorems for second-order radial epiderivatives

Abstract

In this paper, we introduce the concepts of second-order radial epiderivative and second-order generalized radial epiderivative for nonconvex set-valued maps. We also investigate some of their properties. We give existence theorems for the second-order generalized radial epiderivatives.

Keywords

• Second-order radial set,second-order generalized radial epiderivative

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