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.
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页码：299 / 307
页数：9
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