G-contractions and G-iterated function system

Amal P.S., Vinod Kumar P.B. and Ramkumar P.B.

Chaos, Solitons & Fractals, 2026, vol. 209, issue P1

Abstract: We introduce and study a new class of maps on metric spaces, called G-contractions, which extend the classical notion of contractions. G-contractions may admit compact invariant sets. Gn-contractions are studied as a subclass of G-contractions, and their structural and dynamical properties are explored. Building on this theory, a framework is developed for iterated function systems composed of Gn-contractions, called G-IFS, and some fractals arising from the system are constructed.

Keywords: G-contraction; G maximal invariant set; Gn-contraction; G-IFS; G-attractor (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:209:y:2026:i:p1:s0960077926005473

DOI: 10.1016/j.chaos.2026.118406

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