Characterizations of Strongly Quasiconvex Functions

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

Publication Details

Journal
ArXiv.org
Published
2025-09-25
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

Characterizations of Strongly Quasiconvex Functions

ArXiv.org
Geochemistry and Geologic Mapping
article

Characterizations of Strongly Quasiconvex Functions

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Abstract

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

ArXiv.org
Openalex Percentile: Top 25%
Geochemistry and Geologic Mapping
Open Access PDFOpenAlex
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Characterizations of Strongly Quasiconvex Functions · ArXiv.org (2025) | TGRS Research Map | TGRS