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New General Fixed-Point Approach to Compute the Resolvent of Composite Operators (2502.01664v1)
Published 1 Feb 2025 in math.OC
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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