A systematization of global well-posedness in vector optimization.
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| Title: | A systematization of global well-posedness in vector optimization. |
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| Authors: | Rocca, Matteo1 (AUTHOR) matteo.rocca@uninsubria.it |
| Source: | Annals of Operations Research. Mar2025, Vol. 346 Issue 2, p1653-1669. 17p. |
| Subjects: | Multi-objective optimization, Vector valued functions |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| 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. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 02545330 |
| DOI: | 10.1007/s10479-024-06089-z |
