Differentiability of convex functions on sublinear topological spaces and variational principles in locally convex spaces

被引：2

作者：

Cheng, LX ^{[1
]}

Teng, YM

机构：

[1] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China

[2] Beihang Univ, Dept Math, Beijing 100083, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2005年 / 26卷 / 04期

关键词：

convex function; beta differentiability; variational principle; perturbed optimization; Banach spaces; locally convex spaces;

D O I：

10.1142/S025295990500049X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents a type of variational principles for real valued w* lower semicontinuous functions on certain subsets in duals of locally convex spaces, and resolve a problem concerning differentiability of convex functions on general Banach spaces. They are done through discussing differentiability of convex functions on nonlinear topological spaces and convexification of nonconvex functions on topological linear spaces.

引用

页码：611 / 632

页数：22

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