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Note on minimization of quasi M♮-convex functions.
- Source :
- Japan Journal of Industrial & Applied Mathematics; May2024, Vol. 41 Issue 2, p857-880, 24p
- Publication Year :
- 2024
-
Abstract
- For a class of discrete quasi convex functions called semi-strictly quasi M ♮ -convex functions, we investigate fundamental issues relating to minimization, such as optimality condition by local optimality, minimizer cut property, geodesic property, and proximity property. Emphasis is put on comparisons with (usual) M ♮ -convex functions. The same optimality condition and a weaker form of the minimizer cut property hold for semi-strictly quasi M ♮ -convex functions, while geodesic property and proximity property fail. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09167005
- Volume :
- 41
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Japan Journal of Industrial & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 176999467
- Full Text :
- https://doi.org/10.1007/s13160-023-00633-3