CONVERGENCE OF INFINITE PRODUCTS OF CONTRACTIVE MAPPINGS ON METRIC SPACES WITH GRAPHS


Simeon Reich†, Alexander J. Zaslavski‡

We study the convergence of infinite products of contractive mappings on metric spaces with graphs. In particular, we extend analogous results of ours which have recently been obtained for powers of contractive mappings.

Keywords: contractive mapping, graph, infinite product, metric space.
MSC: 47H09, 47H10, 54E50.

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DOI   10.56082/annalsarscimath.2025.2.81

†  sreich@technion.ac.il, Department of Mathematics, The Technion – Israel Institute of Technology, 32000 Haifa, Israel
‡  ajzasl@technion.ac.il, Department of Mathematics, The Technion – Israel Institute of Technology, 32000 Haifa, Israel


PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its ApplicationVolume 17 no 2, 2025