| Article ID: | iaor20131929 |
| Volume: | 55 |
| Issue: | 3 |
| Start Page Number: | 521 |
| End Page Number: | 538 |
| Publication Date: | Mar 2013 |
| Journal: | Journal of Global Optimization |
| Authors: | Mohebi H |
| Keywords: | programming: convex |
In this paper, we investigate abstract convexity of non‐positive increasing and radiant (IR) functions over a topological vector space. We characterize the essential results of abstract convexity such as support set, subdifferential and polarity of these functions. We also give some characterizations of a certain kind of polarity and separation property for non‐convex radiant and co‐radiant sets.