Multicorn sets of z̄ᵏ + cᵐ via S-iteration with h-convexity

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dc.contributor.authorTassaddiq, Asifa
dc.contributor.authorTanveer, Muhammad
dc.contributor.authorIsrar, Khuram
dc.contributor.authorArshad, Muhammad
dc.contributor.authorShehzad, Khurrem
dc.contributor.authorSrivastava, Rekha
dc.date.accessioned2024-01-24T19:44:28Z
dc.date.available2024-01-24T19:44:28Z
dc.date.copyright2023en_US
dc.date.issued2023
dc.description.abstractFractals represent important features of our natural environment, and therefore, several scientific fields have recently begun using fractals that employ fixed-point theory. While many researchers are working on fractals (i.e., Mandelbrot and Julia sets), only a very few have focused on multicorn sets and their dynamic nature. In this paper, we study the dynamics of multicorn sets of z̄ᵏ + cᵐ, where k ≥ 2, c ≠ 0 ∈ ℂ, and m ∈ ℝ, by using S-iteration with h-convexity instead of standard S-iteration. We develop escape criterion z̄ᵏ + cᵐ for S-iteration with h-convexity. We analyse the dynamical behaviour of the proposed conjugate complex function and discuss the variation of iteration parameters along with function parameter m. Moreover, we discuss the effects of input parameters of the proposed iteration and conjugate complex functions of the behaviour of multicorn sets with numerical simulations.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThis research was funded by the Deanship of Scientific Research at Majmaah University for supporting this work under Project Number No. R-2023-477.en_US
dc.identifier.citationTassaddiq, A., Tanveer, M., Israr, K., Arshad, M., Shehzad, K., & Srivastava, R. (2023). Multicorn sets of  z̄ᵏ + cᵐ via S-iteration with h-convexity. Fractal and Fractional, 7(6), 486. https://doi.org/10.3390/fractalfract7060486en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract7060486
dc.identifier.urihttp://hdl.handle.net/1828/15857
dc.language.isoenen_US
dc.publisherFractal and Fractionalen_US
dc.subjectmulticorns
dc.subjectS-iteration
dc.subjecth-convexity
dc.subjectescape criterion
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleMulticorn sets of z̄ᵏ + cᵐ via S-iteration with h-convexityen_US
dc.typeArticleen_US

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