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?
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?