Residuality Properties of Certain Classes of Convex Functions on Normed Linear Spaces

被引：0
|
作者：
Barshad, Kay [1 ]
Reich, Simeon [1 ]
Zaslavski, Alexander J. [1 ]
机构：
[1] Technion Israel Inst Technol, Dept Math, Haifa, Israel
来源：
JOURNAL OF CONVEX ANALYSIS | 2022年 / 29卷 / 03期
基金：
以色列科学基金会;
关键词：
Baire category; convex function; local uniform convexity; lower semi-continuity; normed space; residual set; strict convexity; uniformity;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the existence of residual sets of certain classes of convex functions on a normed linear space. Such sets play an important role in many optimization algorithms for which elements of a certain class can be used as good approximants of given convex functions and thus the abundance of such elements is crucial for the aforementioned algorithms.
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页码：795 / 806
页数：12
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