Two Convergence Results for Inexact Orbits of Nonexpansive Operators in Metric Spaces with Graphs

Author:

Zaslavski Alexander J.1

Affiliation:

1. Department of Mathematics, The Technion—Israel Institute of Technology, Haifa 32000, Israel

Abstract

In this work we show that if iterates of a nonexpansive self-mapping of a complete metric with a graph converge uniformly on a subset of the space, then this convergence is stable under the presence of small computational errors.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference44 articles.

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3. Baitiche, Z., Derbazi, C., Alzabut, J., Samei, M.E., and Kaabar, M.K.A. (2021). Monotone iterative method for ψ-Caputo fractional derivative and nonlinear boundary conditions. Fractal Fract., 5.

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5. Butnariu, D., Reich, S., and Zaslavski, A.J. (2006). Convergence to fixed points of inexact orbits of Bregman-monotone and of nonexpansive operators in Banach spaces. Fixed Point Theory Its Appl., 11–32.

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