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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