On Notations for Conic Hulls and Related Considerations on Tangent Cones

Giorgio Giorgi

Journal of Mathematics Research, 2021, vol. 13, issue 3, 13

Abstract: We propose two di erent notations for cones generated by a set and for convex cones generated by a set, usually denoted by a same notation. We make some remarks on the Bouligand tangent cone and on the Clarke tangent cone for star-shaped sets and for locally convex sets. We give some applications of these remarks to a di erentiable optimization problem with an abstract constraint.

Date: 2021
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