In this article we introduce the notion of approximate Karush-Kuhn- Tucker (KKT) points for smooth, convex and nonsmooth, nonconvex vector optimization problems. We study a kind of stability of these points and KKT points of vector optimization problems. In the convex case we also introduce and study the notion of modified approximate KKT points motivated by Ekeland's variational principle. We prove stability properties of these points for several optimization problems. © 2011 Taylor & Francis.

Joydeep Dutta

School of Artificial Intelligence and Data Science (AIDE)

IIT Jodhpur

M. Durea

C. Tammer

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Journal	Optimization
ISSN	02331934