摘要

In this paper, we establish a Karush-Kuhn-Tucker condition for a weak Pareto solution of a smooth constrained vector optimization problem. We introduce a kind of approximate KKT points for a smooth constrained vector optimization problem and establish the stability results for such approximate KKT points. In particular, under the weaker conditions, we extend and improve some results by Durea, Dutta and Tammer (Optimization, 60, 823-838 (2011)) to the infinite dimensional case.