Abstract convexity of extended real-valued ICR functions |
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Authors: | MH Daryaei |
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Institution: | Department of Mathematics , Shahid Bahonar University of Kerman , Kerman , Iran |
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Abstract: | The theory of non-negative increasing and co-radiant (ICR) functions defined on ordered topological vector spaces has been well developed. In this article, we present the theory of extended real-valued ICR functions defined on an ordered topological vector space X. We first give a characterization for non-positive ICR functions and examine abstract convexity of this class of functions. We also investigate polar function and subdifferential of these functions. Finally, we characterize abstract convexity, support set and subdifferential of extended real-valued ICR functions. |
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Keywords: | monotonic analysis ICR function subdifferential support set co-radiant set radiant set abstract convexity |
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