The canonical projection between the shift space of an IIFS and its attractor as a fixed point

DOI10.1186/s13663-015-0322-5zbMath1346.54023OpenAlexW2138614340WikidataQ59431464 ScholiaQ59431464MaRDI QIDQ285860

Alexandru Mihail

Publication date: 19 May 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-015-0322-5

zbMATH Keywords

fixed pointattractorIFSshift spacecanonical projectionIIFS

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fixed-point and coincidence theorems (topological aspects) (54H25) Fractals (28A80)

Related Items (3)

The canonical projection associated with certain possibly infinite generalized iterated function systems as a fixed point ⋮ Dendrite-type attractors of IFSs formed by two injective functions ⋮ A study of the attractor of a \(\varphi\)-\(\max\)-IFS via a relatively new method

Cites Work

• Iterated function systems consisting of \(F\)-contractions
• Applications of fixed point theorems in the theory of generalized IFS
• Generalized IFSs on noncompact spaces
• Lipscomb's \(L(A)\) space fractalized in \(l^p (A)\)
• Multivalued fractals
• Generalized iterated function systems on the space \(l^\infty(X)\)
• A theorem on contraction mappings
• Lipscomb’s universal space is the attractor of an infinite iterated function system
• Attractors of Infinite Iterated Function Systems Containing Con
• Lipscomb's space $\omega^{A}$ is the attractor of an infinite IFS containing affine transformations of $l^{2}(A)$
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