REMARKS ON THE CONTINUITY OF CONVEX FUNCTIONS IN GEODESIC SPACES

被引：0

作者：

Lopez-Acedo, Genaro ^{[1
]}

Nicolae, Adriana ^{[2
]}

机构：

[1] Univ Seville, Dept Math Anal, IMUS, C Tarfia S-N, Seville 41012, Spain

[2] Babes Bolyai Univ, Dept Math, Kogalniceanu 1, Cluj Napoca 400084, Romania

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2024年 / 63卷 / 01期

关键词：

Convex function; continuity; polyhedral spaces;

D O I：

10.12775/TMNA.2023.060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We explore the behavior of convex functions defined on locally polyhedral type spaces. As a relevant example of such spaces we show that locally compact R -trees with the geodesic extension property around any point are locally polyhedral spaces.

引用

页码：299 / 307

页数：9

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