On Well‐Posedness and Hausdorff Convergence of Solution Sets of Vector Optimization Problems

On Well‐Posedness and Hausdorff Convergence of Solution Sets of Vector Optimization Problems

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Article ID: iaor20123931
Volume: 153
Issue: 3
Start Page Number: 619
End Page Number: 632
Publication Date: Jun 2012
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: vector optimization
Abstract:

In this paper, we refine and improve the results established in a 2003 paper by Deng in a number of directions. Specifically, we establish a well‐posedness result for convex vector optimization problems under a condition which is weaker than that used in the paper. Among other things, we also obtain a characterization of well‐posedness in terms of Hausdorff distance of associated sets.

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