On the Metric Resolvent: Nonexpansiveness, Convergence Rates and Applications On the Metric Resolvent: Nonexpansiveness, Convergence Rates and Applications

In this paper, we study the nonexpansive properties of metric resolvent and present the convergence analysis for the associated fixed-point iterations of both Banach–Picard and Krasnosel’skiĭ–Mann types. A by-product of our expositions also extends the proximity operator and Moreau’s decomposition i...

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Bibliographic Details
Published in:	Journal of the Operations Research Society of China (Internet) Vol. 13; no. 4; pp. 966 - 988
Main Author:	Xue, Feng
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2025 Springer Nature B.V
Subjects:	Algorithms Convergence Convex analysis Decomposition Management Science Mathematics Mathematics and Statistics Operations Research 90C25 Metric resolvent Convergence rates Operator splitting algorithms 49M29 49M27 47H05 Nonexpansiveness
ISSN:	2194-668X, 2194-6698
Online Access:	Get full text
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