Contractive affine generalized iterated function systems which are topologically contracting

Radu Miculescu, Alexandru Mihail and Silviu-Aurelian Urziceanu

Chaos, Solitons & Fractals, 2020, vol. 141, issue C

Abstract: In this paper we provide alternative descriptions of those generalized possibly infinite iterated function systems whose constitutive functions are affine contractions which are topologically contracting generalized iterated function systems. As a by-product, we establish conditions under which the attractor of a contractive affine generalized possibly infinite iterated function system is compact.

Keywords: (Affine/topologically contracting) generalized possibly infinite iterated function system; (Compact) attractor; Fixed point; Generalized φ-contraction; Weak precompact family of bounded linear operators (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:141:y:2020:i:c:s0960077920307979

DOI: 10.1016/j.chaos.2020.110404

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