Dynamic String-Averaging Proximal Point Algorithm

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

Chapter Chapter 9 in Approximate Solutions of Common Fixed-Point Problems, 2016, pp 319-339 from Springer

Abstract: Abstract In a Hilbert space, we study the convergence of a dynamic string-averaging proximal point method to a common zero of a finite family of maximal monotone operators under the presence of computational errors. We show that the algorithm generates a good approximate solution, if the sequence of computational errors is bounded from above by a constant. Moreover, for a known computational error, we find out what an approximate solution can be obtained and how many iterates one needs for this.

Keywords: Maximal Monotone Operator; Computational Errors; Common Zeros; Good Approximate Solution; Italics (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-33255-0_9

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DOI: 10.1007/978-3-319-33255-0_9

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