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

Laura J. Kettner and Sien Deng ()
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Laura J. Kettner: Northern Illinois University
Sien Deng: Northern Illinois University

Journal of Optimization Theory and Applications, 2012, vol. 153, issue 3, No 5, 619-632

Abstract: 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.

Keywords: Well-posedness; Weakly efficient solution; Hausdorff distance; Convexity (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-011-9947-7

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