Uniqueness of KKT multipliers in multiobjective optimization

5Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.

Abstract

The uniqueness of the KKT multipliers of a nonlinear program has been studied ina well-known paper by Kyparisis. In the first part of this note, we show that the characterization obtained in that paper does not provide a satisfactory result for the multiobjective case. Thus, we introduce a new regularity condition, which involves also the objective functions, and we show that it is necessary and sufficient in order to have unique KKT multipliers. Moreover, we use this condition to refine a second-order necessary optimality condition, which has been obtained in a recent paper. © 2004 Elsevier Ltd. All rights reserved.

Cite

CITATION STYLE

APA

Bigi, G., & Castellani, M. (2004). Uniqueness of KKT multipliers in multiobjective optimization. Applied Mathematics Letters, 17(11), 1285–1290. https://doi.org/10.1016/j.aml.2003.10.011

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free