Inexact orbits of nonexpansive mappings with nonsummable errors

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作者
Simeon Reich
Alexander J. Zaslavski
机构
[1] The Technion – Israel Institute of Technology,Department of Mathematics
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关键词
Complete metric space; Fixed point; Inexact iteration; Nonexpansive mapping; 47H09; 47H10; 54E50;
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摘要
Given a nonexpansive mapping which maps a closed subset of a complete metric space into the space, we study the convergence of its inexact iterates to its fixed point set in the case where the errors are nonsummable. Previous results in this direction concerned nonexpansive self-mappings of the complete metric space and inexact iterates with summable errors.
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