Existence of a Fixed Point for a Cyclical Contractive Mapping

Zaslavski A.J.

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Published: Oct 13, 2023

Keywords:

Complete metric space, Contractive mapping, Cyclical mapping, Fixed point, Iterate

Zaslavski A.J.

Abstract

In this work we consider a contractive cyclical mapping acting in a complete metric space. We show the existence of a unique fixed point which attracts all (inexact) iterates of the mapping. © 2022, International Publications. All rights reserved.

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Vol. 32 No. 1 (2022)

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