Taylor's expansion for C1, 1 functions in Asplund spaces

被引:1
作者
Sarabi, M. E. [1 ]
机构
[1] Univ Tarbiat Moallem, Dept Math, Tehran 1561836314, Iran
关键词
Lower regular function; Taylor's expansion; Asplund space; Basic subdifferential;
D O I
10.1016/j.na.2009.04.067
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of this paper is to present a version of second-order Taylor's expansion for C-1,C-1 functions in Asplund spaces. An application is also given. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:5707 / 5711
页数:5
相关论文
共 4 条
[1]  
[Anonymous], 2006, GRUNDLEHREN SERIES
[2]   Approximate generalized Hessians and Taylor's expansions for continuously Gateaux differentiable functions [J].
Jeyakumar, V ;
Yang, XQ .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 36 (03) :353-368
[3]  
MORDUKHOVICH BS, 1976, PMM-J APPL MATH MEC+, V40, P960
[4]   DIRECTIONALLY LIPSCHITZIAN FUNCTIONS AND SUBDIFFERENTIAL CALCULUS [J].
ROCKAFELLAR, RT .
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1979, 39 (SEP) :331-355