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Does Slater condition hold trivially (because there are no inequality constraints) for the problem:

$$\min_{x,y} \:\: cx+dy$$

s.t.

$$e^x + e^y = 1.$$

Can I conclude there is a zero duality gap here?

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    This site supports TeX markup, just enclose your formulas in dollar or double-dollar signs.2010-10-11
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    Okay. I am pretty sure this problem has zero duality gap. What some other condition can I use?2010-10-11

4 Answers 4