Two Characterizations of Quasiconvexity

We present two characterisations of quasiconvexity for radially semicontinuous mappings defined on a convex subset of a real linear space. As applications, we obtain an extension of Sion’s minimax theorem and two characterisations of quasiconvex risk measures.

Authors

Włodzimierz Fechner (ORCID: https://orcid.org/0000-0002-9653-3500)

Institutions

Lodz University of Technology (PL)
Institute of Mathematics (PL)

Publication Details

Journal: Journal of Optimization Theory and Applications
Published: 2025-05-26
DOI: https://doi.org/10.1007/s10957-025-02708-2
Primary Topic: Mathematical Inequalities and Applications
Type: article
Field-Weighted Citation Impact: 0.00

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article

Two Characterizations of Quasiconvexity

Włodzimierz Fechner

May 26, 2025

Journal of Optimization Theory and Applications

Mathematical Inequalities and Applications

article

Two Characterizations of Quasiconvexity

Włodzimierz Fechner

May 26, 2025article en

Abstract

Journal of Optimization Theory and ApplicationsVol. 206(2)

Lodz University of Technology (PL), Institute of Mathematics (PL)

Openalex Percentile: Top 83%

Mathematical Inequalities and Applications

DOI Open Access PDF OpenAlex

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Two Characterizations of Quasiconvexity — Włodzimierz Fechner · Journal of Optimization Theory and Applications (2025) | TGRS Research Map | TGRS