an:00020180
Zbl 0744.49006
Wang, Yuntong
A characterization of paratingent cone and \(P\)-subderivative with applications in nonsmooth analysis
EN
Acta Math. Sin., New Ser. 7, No. 2, 181-192 (1991).
00007112
1991
j
49J52 90C48
paratingent cone; \(P\)-directional derivative; contingent cone; contingent directional derivative; \(P\)-subderivative
Characterizations of the paratingent cone to an open set at a boundary point and the \(P\)-directional derivative of a real-valued continuous function are given by using the contingent cone and the contingent directional derivative, respectively. It is shown that these results are useful to establish sufficient condition for strict differentiability of a continuous function. The \(P\)-subderivative is also introduced and its applications to a continuous mathematical programming problem subject to a set constraint is reported.
X.Q.Yang (Kensington)