Inconsistent Convex Feasibility Problems
Alexander J. Zaslavski
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Alexander J. Zaslavski: Technion, Israel Institute of Technology
Chapter Chapter 7 in Solutions of Fixed Point Problems with Computational Errors, 2024, pp 337-351 from Springer
Abstract:
Abstract In this chapter we study the method of cyclic projections for inconsistent convex feasibility problems in a Hilbert space under the presence of computational errors. We show that our algorithm generate a good approximate solution, if computational errors are bounded from above by a small positive constant. Our main goal is, for a known computational error, to find out what approximate solution can be obtained and how many iterations one needs for this.
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-50879-0_7
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DOI: 10.1007/978-3-031-50879-0_7
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