Abstract
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.
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Mohebi, H. Abstract convexity of radiant functions with applications. J Glob Optim 55, 521–538 (2013). https://doi.org/10.1007/s10898-012-9888-1
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DOI: https://doi.org/10.1007/s10898-012-9888-1