The proximal point method finds approximate solutions for maximal monotone maps, highlighting computational errors' impact.
In the present paper we use the proximal point method in order to find an approximate common zero of an infinite collection of maximal monotone maps in a real Hilbert space under the presence of computational errors. We prove that the inexact proximal point method generates an approximate solution if these errors are sufficiently small.
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Alexander J. Zaslavski (2025) studied this question.
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