Abstract
M-convex and L-convex functions in continuous variables constitute subclasses of convex functions with nice combinatorial properties. In this note we give proofs of the fundamental facts that closed proper M-convex and L-convex functions are continuous on their effective domains.
Original language | English |
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Pages (from-to) | 265-273 |
Number of pages | 9 |
Journal | Journal of the Operations Research Society of Japan |
Volume | 51 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2008 Dec |
Externally published | Yes |
Keywords
- Combinatorial optimization
- Continuity
- Convex function
- Matroid
- Submodular function
ASJC Scopus subject areas
- Decision Sciences(all)
- Management Science and Operations Research