Tangent Cones and Convexity
Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 257-261
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The study of general multiplier theorems (Kuhn-Tucker Conditions) for constrained optimization problems has led to extensions of the notion of a differentiable arc. Abadie [1], Varaiya [10], Guignard [5], Zlobec [11] and Massam [12] investigated the so called cone of tangent vectors to a point in a set for optimization purposes.
Borwein, J.; O’Brien, R. Tangent Cones and Convexity. Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 257-261. doi: 10.4153/CMB-1976-040-x
@article{10_4153_CMB_1976_040_x,
author = {Borwein, J. and O{\textquoteright}Brien, R.},
title = {Tangent {Cones} and {Convexity}},
journal = {Canadian mathematical bulletin},
pages = {257--261},
year = {1976},
volume = {19},
number = {3},
doi = {10.4153/CMB-1976-040-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-040-x/}
}
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