A Note on König and Close Convexity in Minimax Theorems

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Abstract

© 2016, Springer Science+Business Media New York. 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.
Original languageAmerican English
Pages (from-to)65-71
Number of pages7
JournalJournal of Optimization Theory and Applications
DOIs
StatePublished - 1 Jul 2016

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