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In this chapter we use Krasnoselskii-Mann iterations for solving set-valued inclusions in a W-hyperbolic space. Our main goal is to obtain an approximate solution of the problem in the presence of computational errors. We show that the iterative method 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.

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Set-Valued Inclusions

  • 章节

  • 发表日期：

    2025年

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  • Alexander J. Zaslavski

摘要

In this chapter we use Krasnoselskii-Mann iterations for solving set-valued inclusions in a W-hyperbolic space. Our main goal is to obtain an approximate solution of the problem in the presence of computational errors. We show that the iterative method 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.