Abstract convexity of radiant functions with applications

H. Mohebi ()

Journal of Global Optimization, 2013, vol. 55, issue 3, 538 pages

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. Copyright Springer Science+Business Media, LLC. 2013

Keywords: Monotonic analysis; IR function; Radiant set; Co-radiant set; Abstract convexity; 26B25; 26A48 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10898-012-9888-1

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