Abstract
We show the existence and uniqueness for self-similar measures for iterated function systems driven by weak contractions. Our main idea is using the duality theorem of Kantorovich-Rubinstein and equivalent conditions for weak contractions established by Jachymski. We also show collage theorems for such iterated function systems.
Citation
Kazuki Okamura. "Self-similar measures for iterated function systems driven by weak contractions." Proc. Japan Acad. Ser. A Math. Sci. 94 (4) 31 - 35, April 2018. https://doi.org/10.3792/pjaa.94.31
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