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
来源：
SIAM JOURNAL ON OPTIMIZATION | 2023年 / 33卷 / 03期
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.
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页码：2484 / 2488
页数：5
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