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First-Order Characterizations of Strong Quasiconvexity and a Quasimonotonicity Gap
We study first-order conditions for Gâteaux differentiable strongly quasiconvex functions on open convex subsets of normed spaces. First, we prove that the value-order gradient condition characterizes strong quasiconvexity with the same modulus $σ$, improving the modulus $σ/2$ of Vladimirov, Nestero
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