φ-regular functions in Asplund spaces

被引：0

作者：

Van Ngai, Huynh ^{[1
]}

Thera, Michel ^{[2
]}

机构：

[1] Pedagog Univ Quynhon, Dept Math, Qui Nhon, Vietnam

[2] Univ Limoges, CNRS, UMR 6172, Lab XLIM, F-87060 Limoges, France

来源：

CONTROL AND CYBERNETICS | 2007年 / 36卷 / 03期

关键词：

phi-regularity; Frechet-subdifferential; limiting subdifferential; prox-regularity; lower-C-2; function; convexly compositefunction; Moreau envelope; regularization;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We introduce in the context of Asplund spaces, a new class of phi-regular functions. This new concept generalizes the one of prox-regularity introduced by Poliquin & Rockafellar (2000) in R-n and extended to Banach spaces by Bernard & Thibault (2004). In particular, the class of phi-regular functions includes all lower semi-continuous convex functions, all lower-C-2 functions, and convexly C-1,C-0-composite functions as well. Geometrical and subdifferential characterizations for this new class of functions are investigated.

引用

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页码：755 / 774

页数：20

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