A Note on König and Close Convexity in Minimax Theorems

Fernando Luque-Vásquez (), J. Adolfo Minjárez-Sosa () and Max E. Mitre-Báez ()
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Fernando Luque-Vásquez: Universidad de Sonora
J. Adolfo Minjárez-Sosa: Universidad de Sonora
Max E. Mitre-Báez: Universidad de Sonora

Journal of Optimization Theory and Applications, 2016, vol. 170, issue 1, No 4, 65-71

Abstract: 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.

Keywords: König convexity; Close convexity; Minimax theorems; 32F17 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10957-016-0922-1

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