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Take the problem $$ \min f(x) \ \ \text{ s.t. } A x - b \leq 0_M $$ where $f:\mathbb{R}^N \to \mathbb{R}$ is a quasi convex function, $A \in \mathbb{R}^{M \times N}$ $b \in \mathbb{R}^M$, and $0_M$ is the $M$-dimensional zero vector. Are there conditions (without assuming convexity of $f$) that assure strong duality?

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