A systematization of global well-posedness in vector optimization

Matteo Rocca ()
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Matteo Rocca: Universitá degli Studi dell’Insubria

Annals of Operations Research, 2025, vol. 346, issue 2, No 35, 1653-1669

Abstract: 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.

Keywords: Vector optimization; Well-posedness; Scalarization (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10479-024-06089-z

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