New General Fixed-Point Approach to Compute the Resolvent of Composite Operators
Optimization and Control
2025-02-05 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2502.01664,
title = {New General Fixed-Point Approach to Compute the Resolvent of Composite Operators},
author = {Samir Adly and Ba Khiet Le},
journal= {arXiv preprint arXiv:2502.01664},
year = {2025}
}