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Aug 23, 2019 at 4:39 history edited Iosif Pinelis CC BY-SA 4.0
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Aug 23, 2019 at 4:31 history edited Iosif Pinelis CC BY-SA 4.0
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Aug 23, 2019 at 4:19 comment added user128095 Thank you very kindly for the detailed comments (I did not know about Thereom 1.1 or Theorem 1 before). I have now added more details about function $F$ in PS2 (see above). After taking a look at your previous answers, I believe that you are familiar with optimal transport and Voronoi tessellation. Now to check the condition ensuring the minmax duality, it suffices to check the uniqueness of $argmin_{x\in M}F(x,y)$. For the function $F$ defined above, do you have any idea whether this condition is satisfied? Thanks a lot!
Aug 23, 2019 at 4:13 history edited Iosif Pinelis CC BY-SA 4.0
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Aug 23, 2019 at 3:54 history edited Iosif Pinelis CC BY-SA 4.0
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Aug 23, 2019 at 3:46 history edited Iosif Pinelis CC BY-SA 4.0
added 137 characters in body
Aug 23, 2019 at 3:34 history answered Iosif Pinelis CC BY-SA 4.0