Abstract
We give an example of a real-valued function defined on the Cartesian product of two compact sets, which is König convex but not closely convex. Additionally, we prove that under suitable conditions, König convexity implies close convexity.
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Communicated by Jonathan Michael Borwein.
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Luque-Vásquez, F., Minjárez-Sosa, J.A. & Mitre-Báez, M.E. A Note on König and Close Convexity in Minimax Theorems. J Optim Theory Appl 170, 65–71 (2016). https://doi.org/10.1007/s10957-016-0922-1
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DOI: https://doi.org/10.1007/s10957-016-0922-1