We give a new characterization of the paratingent cone in terms of contingent cones,i. e., the paratingent cone to any open set at a boundary point is the upper limit of the contingentcones at the neighboring points. ...We give a new characterization of the paratingent cone in terms of contingent cones,i. e., the paratingent cone to any open set at a boundary point is the upper limit of the contingentcones at the neighboring points. We use this result to characterize the strict differentiability in termsof the contingent directional derivatives. We also define a P-subderivative for continuous functionsand develop a subdifferential calculus with applications to optimality conditions in mathematicalprograming.展开更多
文摘We give a new characterization of the paratingent cone in terms of contingent cones,i. e., the paratingent cone to any open set at a boundary point is the upper limit of the contingentcones at the neighboring points. We use this result to characterize the strict differentiability in termsof the contingent directional derivatives. We also define a P-subderivative for continuous functionsand develop a subdifferential calculus with applications to optimality conditions in mathematicalprograming.
