METRIC SUBREGULARITY FOR NONCLOSED CONVEX MULTIFUNCTIONS IN NORMED SPACES

被引：3
|
作者：
Zheng, Xi Yin [1 ]
Ng, Kung Fu [2 ]
机构：
[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China
[2] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2010年 / 16卷 / 03期
关键词：
Metric subregularity; multifunction; normal cone; coderivative; GLOBAL ERROR-BOUNDS; REGULARITY; CALMNESS;
D O I：
10.1051/cocv/2009012
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In terms of the normal cone and the coderivative, we provide some necessary and/or sufficient conditions of metric subregularity for (not necessarily closed) convex multifunctions in normed spaces. As applications, we present some error bound results for (not necessarily lower semicontinuous) convex functions on normed spaces. These results improve and extend some existing error bound results.
引用
收藏
页码：601 / 617
页数：17
相关论文
共 50 条
  • [21] FULLY CONVEX NORMED LINEAR SPACES
    FAN, K
    GLICKSBERG, I
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1955, 41 (11) : 947 - 953
  • [22] Random fixed points of multifunctions on metric spaces
    Centre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore, Pakistan
    不详
    J. Nonlinear Funct. Anal., 1600,
  • [23] METRIC REGULARITY OF COMPOSITE MULTIFUNCTIONS IN BANACH SPACES
    Zheng, Xi Yin
    Ng, Kung Fu
    TAIWANESE JOURNAL OF MATHEMATICS, 2009, 13 (6A): : 1723 - 1735
  • [24] A generalization of metric, normed, and unitary spaces
    A. A. Borubaev
    Doklady Mathematics, 2014, 89 : 154 - 156
  • [25] On locally convex probabilistic normed spaces
    Jie Chi
    Changli Yan
    Minxian Zhang
    Binshan Ju
    Journal of Inequalities and Applications, 2016
  • [26] A generalization of metric, normed, and unitary spaces
    Borubaev, A. A.
    DOKLADY MATHEMATICS, 2014, 89 (02) : 154 - 156
  • [27] METRIC GRADIENT IN NORMED LINEAR SPACES
    GOLOMB, M
    TAPIA, RA
    NUMERISCHE MATHEMATIK, 1972, 20 (02) : 115 - &
  • [28] On locally convex probabilistic normed spaces
    Chi, Jie
    Yan, Changli
    Zhang, Minxian
    Ju, Binshan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [29] THE METRIC INJECTIVE HULLS OF NORMED SPACES
    RAO, NV
    TOPOLOGY AND ITS APPLICATIONS, 1992, 46 (01) : 13 - 21
  • [30] A metric characterization of normed linear spaces
    Oikhberg, Timur
    Rosenthal, Haskell
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2007, 37 (02) : 597 - 608
12345