New General Fixed-Point Approach to Compute the Resolvent of Composite Operators

Fuente: arXiv
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Autori principali: Adly, Samir, Le, Ba Khiet
Natura: Preprint
Pubblicazione: 2025
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author Adly, Samir
Le, Ba Khiet
author_facet Adly, Samir
Le, Ba Khiet
contents In this paper, we propose a new general and stable fixed-point approach to compute the resolvents of the composition of a set-valued maximal monotone operator with a linear bounded mapping. Weak, strong and linear convergence of the proposed algorithms are obtained. Advantages of our method over the existing approaches are also thoroughly analyzed.
format Preprint
id arxiv_https___arxiv_org_abs_2502_01664
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle New General Fixed-Point Approach to Compute the Resolvent of Composite Operators
Adly, Samir
Le, Ba Khiet
Optimization and Control
In this paper, we propose a new general and stable fixed-point approach to compute the resolvents of the composition of a set-valued maximal monotone operator with a linear bounded mapping. Weak, strong and linear convergence of the proposed algorithms are obtained. Advantages of our method over the existing approaches are also thoroughly analyzed.
title New General Fixed-Point Approach to Compute the Resolvent of Composite Operators
topic Optimization and Control
url https://arxiv.org/abs/2502.01664