Existence and convergence results for Perov contraction mappings



	Existence and convergence results for Perov contraction mappings


	Fixed Point Theory, Volume 24, No. 1, 2023, 419-430, February 1st, 2023 DOI: 10.24193/fpt-ro.2023.1.24 Authors: Alexander J. Zaslavski Abstract: In this work we consider a contraction mapping of Perov type which maps a closed subset of a generalized complete metric space into the space. We show the existence of a unique fixed point which attracts all (inexact) iterates of the mapping uniformly on bounded sets. Key Words and Phrases: Complete metric space, contraction mapping, fixed point, inexact iterate. 2010 Mathematics Subject Classification: 47H09, 47H10, 54E50. Published on-line: February 1st, 2023. Fulltext pdf Back to volume's table of contents