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.

引用

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页码：795 / 806

页数：12

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