CONVEX OPTIMIZATION PROBLEMS ON DIFFERENTIABLE SETS (vol 33, pg 338, 2023)

被引:0
|
作者
Zheng, Xi Yin [1 ]
机构
[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China
基金
中国国家自然科学基金;
关键词
C-p-differentiability; Gateaux differentiability; conjugate function; well-posed solvability;
D O I
10.1137/23M1562901
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This corrigendum provides a variant of the Brondsted-Rockafellar theorem, which helps to correct an error in the proof of the sufficiency part of Theorem 2.8 in [X. Y. Zheng, SIAM J. Optim., 33 (2023), pp. 338-359] and to establish the correct characterization for a closed convex set to be C-p-differentiable. In particular, in the original paper, Theorem 2.8 holds with p/epsilon(1)+p replacing epsilon(p/2) and Theorem 3.2 holds with "1+p/p-order-well-posed solvable" replacing "2/p-order-well-posed solvable." All other results remain true.
引用
收藏
页码:2484 / 2488
页数:5
相关论文
共 50 条