Dual optimality conditions for the difference of extended real valued increasing co-radiant functions

Mohammad Hossein Daryaei () and Hossein Mohebi ()
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Mohammad Hossein Daryaei: Shahid Bahonar University of Kerman
Hossein Mohebi: Shahid Bahonar University of Kerman

Journal of Global Optimization, 2024, vol. 90, issue 2, No 3, 355-371

Abstract: Abstract The aim of this paper is to present dual optimality conditions for the difference of two extended real valued increasing co-radiant functions. We do this by first characterizing dual optimality conditions for the difference of two nonpositive increasing co-radiant functions. Finally, we present dual optimality conditions for the difference of two extended real valued increasing co-radiant functions. Our approach is based on the Toland–Singer formula.

Keywords: Global optimization; Abstract convexity; Increasing co-radiant function; Abstract subdifferential; Support set; Toland–Singer formula; 26B25; 26A48; 90C26; 90C46; 90C34 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10898-024-01404-1

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