Dynamic String-Averaging Methods in Hilbert Spaces

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

Chapter Chapter 2 in Approximate Solutions of Common Fixed-Point Problems, 2016, pp 13-48 from Springer

Abstract: Abstract In this chapter we study the convergence of dynamic string-averaging methods for solving common fixed point problems in a Hilbert space. Our main goal is to obtain an approximate solution of the problem in the presence of computational errors. We show that our dynamic string-averaging 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: Hilbert Space; Common Fixed Point Problem; Computational Errors; 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_2

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DOI: 10.1007/978-3-319-33255-0_2

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