In our joint 2006 paper with Dan Butnariu it was shown that if all exact orbits of a nonexpansive mapping converge to a fixed point, then this convergence property also holds for all its inexact orbits with summable errors. In the present paper, we establish an analogous result for inexact orbits of certain contractive self-mappings of complete metric spaces with graphs.

complete metric space, contractive mapping, fixed point, graph, inexact iterate, nonexpansive mapping.

Received: July 21, 2021; Accepted: September 3, 2021; Published: September 14, 2021

How to cite this article: Simeon Reich and Alexander J. Zaslavski, Convergence of inexact iterates of contractive mappings in metric spaces with graphs, JP Journal of Fixed Point Theory and Applications 16(2-3) (2021), 67-75. DOI: 10.17654/FP016230067

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

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