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arXiv · 2503.23423

Construction of graph-directed invariant sets of weak contractions on semi-metric spaces

Kazuki Okamura
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Abstract

We present a construction of graph-directed invariant sets of weak contractions in the sense of Matkowski-Rus on semi-metric spaces. We follow the approach by Bessenyei and P\'enzes, which applies the Kuratowski noncompactness measure without relying on Blascke's completeness theorem. We also establish a relationship between this approach and a generalized de Rham's functional equation indexed by a finite directed graph.

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BibTeXRIS

Kazuki Okamura. 2025-03-30. Construction of graph-directed invariant sets of weak contractions on semi-metric spaces. https://doi.org/10.1007/s00010-025-01189-y

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