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A systematization of global well-posedness in vector optimization

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  • Matteo Rocca

    (Universitá degli Studi dell’Insubria)

Abstract

In this paper we give a systematization of global well-posedness in vector optimization. We investigate the links among global notions of well-posedness for a vector optimization problem (see e.g. Miglierina et al. in J Optim Theory Appl 126:391–409, 2005 for a detailed explanation of the difference between pointwise and global well-posedness in vector optimization). In particular we compare several notions of global well-posedness referring to efficient solutions, weakly efficient solutions and properly efficient solutions of a vector optimization problem. We also establish scalar characterizations of global vector well-posedness. Finally we study global well-posedness of vector cone-convex functions.

Suggested Citation

  • Matteo Rocca, 2025. "A systematization of global well-posedness in vector optimization," Annals of Operations Research, Springer, vol. 346(2), pages 1653-1669, March.
    • Handle: RePEc:spr:annopr:v:346:y:2025:i:2:d:10.1007_s10479-024-06089-z
    DOI: 10.1007/s10479-024-06089-z
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