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Well-Posedness and Scalarization in Vector Optimization

Author

Listed:
  • E. Miglierina

    (Università dell’Insubria)

  • E. Molho

    (Università di Pavia)

  • M. Rocca

    (Università dell’Insubria)

Abstract

In this paper, we study several existing notions of well- posedness for vector optimization problems. We separate them into two classes and we establish the hierarchical structure of their relationships. Moreover, we relate vector well-posedness and well-posedness of an appropriate scalarization. This approach allows us to show that, under some compactness assumption, quasiconvex problems are well posed.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joptap:v:126:y:2005:i:2:d:10.1007_s10957-005-4723-1
    DOI: 10.1007/s10957-005-4723-1
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