Interpolative operators: Fractal to multivalued fractal

B.V. Prithvi and S.K. Katiyar

Chaos, Solitons & Fractals, 2022, vol. 164, issue C

Abstract: The present endeavor investigates an area concerning interpolative operators to approach attractors, particularly fractals; ergo, an interpolative iterated operator system (Iδ-IOS) is employed. As a consequence, dull and active fractals are perceived for the first time in the literature. Moreover, fractal function thereby fractal interpolation space is ascertained using an introductory e-metric and a finite collection of modified Berinde weak operators. Further, the investigation is extended onto multivalued fractals via set-valued interpolative operators. Cut to, properties of a multi-operator associated with set-valued IOS are explored.

Keywords: Interpolative operator; Iterated function system; Fractal; Fractal function; Cyclic map; Set-valued map; Multivalued fractal (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922006592

DOI: 10.1016/j.chaos.2022.112449

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