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Convergence of asymptotic directions |
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| Authors: | Dinh The Luc Jean-Paul Penot |
| Institution: | Département de Mathematiques, Université d'Avignon, Avignon, France - Hanoi Institute of Mathematics, Hanoi, Vietnam ; Département de Mathématiques, Université de Pau, Pau, France |
| Abstract: | We study convergence properties of asymptotic directions of unbounded sets in normed spaces. The links between the continuity of a set-valued map and the convergence of asymptotic directions are examined. The results are applied to investigate continuity properties of marginal functions and asymptotic directions of level sets. |
| Keywords: | Asymptotic cone cosmic continuity marginal function recession cone recession function level set extreme desirability condition |
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