DOI: 10.24193/fpt-ro.2024.2.06

Authors: Rafael Espínola García and William A. Kirk

Abstract: The chances for a mapping taken at random from a given set of mappings to have approximate fixed points are studied in this paper. We start from the discrete case to range more abstract spaces as metric measure spaces. Initial insights for this work are elementary, and some of the observations may already be known. At the same time, they seem to point the way to deeper questions and raise the potential for future study.

Key Words and Phrases: Discrete probability, metric measure spaces, approximate fixed points, random mappings.

2010 Mathematics Subject Classification: 54H25, 47H10, 51K05, 60C05.

Published on-line: June 15th, 2024.

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