DIFFERENTIABILITY OF CONVEX FUNCTIONS ON SUBLINEAR TOPOLOGICAL SPACES AND VARIATIONAL PRINCIPLES IN LOCALLY CONVEX SPACES

被引：0

作者：

CHENG LIXIN TENG YANMEI Department of Mathematic

机构：

来源：

Chinese Annals of Mathematics | 2005年 / 04期

基金：

中国国家自然科学基金;

关键词：

Convex function; βdifferentiability; Variationsl principle; Perturbed optimization; Banach spaces; Locally convex spaces;

D O I：

暂无

中图分类号：

O177.3 [线性空间理论（向量空间）];

学科分类号：

070104 ;

摘要：

This paper presents a type of variational principles for real valued w lower semicon-tinuous 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：124 / 145

页数：22

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