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

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  • Laura J. Kettner

    (Northern Illinois University)

  • Sien Deng

    (Northern Illinois University)

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.

Suggested Citation

  • Laura J. Kettner & Sien Deng, 2012. "On Well-Posedness and Hausdorff Convergence of Solution Sets of Vector Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 153(3), pages 619-632, June.
    • Handle: RePEc:spr:joptap:v:153:y:2012:i:3:d:10.1007_s10957-011-9947-7
    DOI: 10.1007/s10957-011-9947-7
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    References listed on IDEAS

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    1. G. P. Crespi & A. Guerraggio & M. Rocca, 2007. "Well Posedness in Vector Optimization Problems and Vector Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 132(1), pages 213-226, January.
    2. E. Miglierina & E. Molho & M. Rocca, 2005. "Well-Posedness and Scalarization in Vector Optimization," Journal of Optimization Theory and Applications, Springer, vol. 126(2), pages 391-409, August.
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    Cited by:

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    2. C. Lalitha & Prashanto Chatterjee, 2014. "Levitin–Polyak well-posedness for constrained quasiconvex vector optimization problems," Journal of Global Optimization, Springer, vol. 59(1), pages 191-205, May.

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