- Title
- Topical and sub-topical functions, downward sets and abstract convexity
- Creator
- Rubinov, Alex; Singer, Ivan
- Date
- 2001
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/53649
- Identifier
- vital:763
- Identifier
-
https://doi.org/10.1080/02331930108844567
- Identifier
- ISSN:0233-1934
- Abstract
- We study topical and sub-topical functions (i.e., functions f : Rn → R = [-∞, +∞] which are increasing in the natural partial ordering of Rn and additively homogeneous, respectively additively sub-homogeneous), and downward sets (i.e., subsets of ℝn which contain, along with each element, all smaller elements), in the framework of abstract convex analysis, with the aid of the additive min-type coupling function
- Publisher
- Taylor & Francis Ltd.
- Relation
- Optimization Vol. 50, no. 5-6 (2001), p. 307-351
- Rights
- Copyright Taylor & Francis
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0802 Computation Theory and Mathematics; Abstract convex functions; Abstract convex sets; Downward sets; Sub-topical functions; Topical functions
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