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Generalized Monotonicity and the Proximal Point Algorithm

delete2025-11-01
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PRE
AI
D
D. Lüke *
M
Matthew K. Tam
DOI：10.1287/moor.2025.0863delete
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摘要

摘要

En 中文
我们研究了当所关注的算子是度量次正则且满足次单调性质时的近点算法。后者性质可被视为单调算子标准定义的一种量化弱化。我们的主要结果给出了一个条件，在该条件下，在局部范围内，近点算法生成的序列线性收敛到基础算子的一个零点。此外，还探讨了我们所定义的次单调性的普遍性质及其与文献中其他概念的联系。
Keyword:
generalized monotonicity
proximal point algorithm
metric subregularity
almost a-firmly nonexpansive
submonotone

期刊

M
Mathematics of Operations Research
IF:
1.9
论文数:
84
被引数:
0

机构

U
University of Melbourne
学者数:
3.2K
论文数: 1.5K
被引数: 9.3W
U
university of gottingen
学者数:
950
论文数: 437
被引数: 0
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