Dynamic String-Averaging Methods in Normed Spaces

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

Chapter Chapter 3 in Algorithms for Solving Common Fixed Point Problems, 2018, pp 69-144 from Springer

Abstract: Abstract In this chapter we study the convergence of dynamic string-averaging methods for solving common fixed point problems in a normed space. Our main goal is to obtain an approximate solution of the problem using perturbed algorithms. We show that the inexact dynamic string-averaging algorithm generates an approximate solution if perturbations are summable. We also show that if the mappings are nonexpansive and the perturbations are sufficiently small, then the inexact method produces approximate solutions.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-77437-4_3

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DOI: 10.1007/978-3-319-77437-4_3

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