In our 2006 paper with Butnariu [6] it was shown that the convergence of iterates of a nonexpansive self-mapping of a complete metric space is stable in the presence of summable computational errors. In the present paper, we establish such results for uniformly locally nonexpansive mappings.

complete metric space, fixed point, inexact iterate, uniformly locally nonexpansive mapping.

Received: November 5, 2022; Accepted: December 12, 2022; Published: December 20, 2022

How to cite this article: Simeon Reich and Alexander J. Zaslavski, Convergence of inexact iterates of uniformly locally nonexpansive mappings with summable errors, JP Journal of Fixed Point Theory and Applications 18 (2022), 1-11. http://dx.doi.org/10.17654/0973422822003

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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