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<p>We provide new necessary and sufficient conditons for ensuring strong quasiconvexity of nonsmooth functions and, as a consequence, we provide a proof for the differentiable case. Furthermore, we improve the quadratic growth property for strongly quasiconvex functions.</p>

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Characterizations of Strongly Quasiconvex Functions

  • 期刊论文

  • 发表日期：

    2026年4月2日

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  • Nicolas Hadjisavvas,
  • Felipe Lara

摘要

We provide new necessary and sufficient conditons for ensuring strong quasiconvexity of nonsmooth functions and, as a consequence, we provide a proof for the differentiable case. Furthermore, we improve the quadratic growth property for strongly quasiconvex functions.