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Interpolative operators: Fractal to multivalued fractal

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  • Prithvi, B.V.
  • Katiyar, S.K.

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.

Suggested Citation

  • Prithvi, B.V. & Katiyar, S.K., 2022. "Interpolative operators: Fractal to multivalued fractal," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922006592
    DOI: 10.1016/j.chaos.2022.112449
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    References listed on IDEAS

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    1. Erdal Karapinar & Ravi Agarwal & Hassen Aydi, 2018. "Interpolative Reich–Rus–Ćirić Type Contractions on Partial Metric Spaces," Mathematics, MDPI, vol. 6(11), pages 1-7, November.
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    4. Singh, S.L. & Prasad, Bhagwati & Kumar, Ashish, 2009. "Fractals via iterated functions and multifunctions," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1224-1231.
    5. Andres, Jan & Fišer, Jiří & Gabor, Grzegorz & Leśniak, Krzysztof, 2005. "Multivalued fractals," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 665-700.
    6. Herb E. KUNZE & Davide LA TORRE & Edward R. VRSCAY, 2008. "From iterated function systems to iterated multifunction systems," Departmental Working Papers 2008-39, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
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    Cited by:

    1. Prithvi, B.V. & Katiyar, S.K., 2023. "Revisiting fractal through nonconventional iterated function systems," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    2. Ullah, Kifayat & Katiyar, S.K., 2023. "Generalized G-Hausdorff space and applications in fractals," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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