Proximal Point Algorithm

Alexander J. Zaslavski
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Alexander J. Zaslavski: Technion:Israel Institute of Technology

Chapter Chapter 6 in Algorithms for Solving Common Fixed Point Problems, 2018, pp 237-253 from Springer

Abstract: Abstract In a Hilbert space, we study the convergence of an iterative proximal point method to a common zero of a finite family of maximal monotone operators under the presence of perturbations. We show that the inexact proximal point method generates an approximate solution if perturbations are summable. We also show that if the perturbations are sufficiently small, then the inexact proximal point method produces approximate solutions.

Keywords: Inexact Proximal Point Method; Maximal Monotone Operator; Common Zeros; Lower Semicontinuous Convex Function; Account Perturbations (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-77437-4_6

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DOI: 10.1007/978-3-319-77437-4_6

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