The Proximal Point Method for Infinite Families of Maximal Monotone Operators and Set-Valued Mappings

Alexander J. Zaslavski ()
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Alexander J. Zaslavski: Department of Mathematics, Technion–Israel Institute of Technology, Haifa 32000, Israel

Mathematics, 2025, vol. 13, issue 17, 1-12

Abstract: 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.

Keywords: Hilbert space; iteration; monotone operator; variational inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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