Convergence of asymptotic directions
Dinh The Luc, Jean‐Paul Penot · Transactions of the American Mathematical Society · 2001
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.