Results 61 to 70 of about 91 (89)

Cores of Tangent Cones and Clarke's Tangent Cone

Mathematics of Operations Research, 1985
It is known that Clarke's tangent cone at any point of any subset of Rn is always both unique and convex. By contrast, nearly all other notions of convex tangent cone in the literature are monotone in the sense that if a convex cone K is a tangent cone at a point x0 of a set C ⊆ Rn, then K′ ⊆ K, C ⊆ C′ automatically implies that K′ is a tangent cone ...
Martin, D. H., Watkins, G. G.
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On a characterization of Clarke's tangent cone

Journal of Optimization Theory and Applications, 1992
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GIORGI G., GUERRAGGIO, ANGELO
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Nonsmooth Milyutin-Dubovitskii Theory and Clarke's Tangent Cone

Mathematics of Operations Research, 1986
In optimization theory the idea of approximating nonconvex sets by convex cones which satisfy an abstract condition—the Intersection Principle—is due to Milyutin and Dubovitskii. This approach has been successfully applied to optimization problems with differentiable data.
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Clarke's tangent cones and the boundaries of closed sets in Rn

Nonlinear Analysis: Theory, Methods & Applications, 1979
Let $C$ be a nonempty closed subset of $\mathbb{R}^n$. For each $x \in C$, the tangent cone $T_C(x)$ in the sense of Clarke consists of all $y \in \mathbb{R}^n$ such that, whenever one has sequences $t_k\downarrow 0$ and $x_k \rightarrow x$ with $x_k \in C$, there exist $y_k \rightarrow y$ with $x_k + t_ky_k \in C$ for all $k$.
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Tangent cones and Clarke subdifferential

2023
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A worked example of Braun and Clarke’s approach to reflexive thematic analysis

Quality and Quantity, 2021
David Byrne
exaly  

Characterization of Clarke's tangent and normal cones in finite and infinite dimensions

Nonlinear Analysis: Theory, Methods & Applications, 1983
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