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arXiv · 2502.01664

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

Samir Adly·Ba Khiet Le
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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.

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Samir Adly, Ba Khiet Le. 2025-02-01. New General Fixed-Point Approach to Compute the Resolvent of Composite Operators. https://arxiv.org/abs/2502.01664

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