New Tricorn and Multicorns of Ishikawa Iterates

Chauhan, Yashwant Singh; Rana, Rajeshri; Negi, Ashish

doi:10.5120/1322-1676

Cited by 15 publications

(9 citation statements)

References 10 publications

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“…Let X be a subset of complex number and f : X→X for all x 0 ϵ X , we have the sequence numbers for {x n } and {y n } in X according to following way. [11,12] :…”

Section: Ishikawa Iteration : Two Step Iterationmentioning

confidence: 99%

New-Fangled Mandelbrot and Julia Sets for Logarithmic Function

SinghPanwar¹,

Mishra²

2014

IJCA

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“…Let X be a subset of complex number and f : X→X for all x 0 ϵ X , we have the sequence numbers for {x n } and {y n } in X according to following way. [11,12] :…”

Section: Ishikawa Iteration : Two Step Iterationmentioning

confidence: 99%

New-Fangled Mandelbrot and Julia Sets for Logarithmic Function

SinghPanwar¹,

Mishra²

2014

IJCA

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“…After that use the random number generator [10] for simulation of noise and taken additive dynamic noise for where see fig (6,8,9) and for stochastic perturbations influence of additive dynamic noise see fig 7    (1 ) 1 ,…”

Section: S mentioning

confidence: 99%

Role of Superior Iterates in optimizing the Dynamic Noise

Negi¹,

Negi²,

Kapoor³

2013

IJCA

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“…This is one step iterative algorithm and antifractals via MO process were studied by Rani in [23], [24]. Many authors studied the dynamical behaviour of antiholomorphic complex mappings and various fixed point iterative algorithms were utilized [25]- [27].…”

Section: Introductionmentioning

confidence: 99%

Generation of Antifractals via Hybrid Picard-Mann Iteration

Wang

Shahid

et al. 2020

IEEE Access

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The aim of this paper is to generate antifractals using fixed point iterative algorithms, i.e., we aim to generate anti Julia sets, tricorns and multicorns for the anti-polynomial z → z k + c of the complex polynomial z k +c, for k ≥ 2. A hybrid Picard-Mann iterative procedure used to establish escape criterion and explore the geometry of antifractals. A visualization of the antifractals for certain complex antipolynomials is presented and their graphical behavior is compared with antifratals generated via Mann iteration. We also explain the effects of parameters on shape of antifractals. INDEX TERMS Antifractals, fixed point iterative schemes, escape criterion, tricorns and multicorns.

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New Tricorn and Multicorns of Ishikawa Iterates

Abstract: We introduce in this paper the dynamics of Relative Superior Tricorn and Multicorns for Ishikawa iteration.

Cited by 15 publications

References 10 publications

New-Fangled Mandelbrot and Julia Sets for Logarithmic Function

New-Fangled Mandelbrot and Julia Sets for Logarithmic Function

Role of Superior Iterates in optimizing the Dynamic Noise

Generation of Antifractals via Hybrid Picard-Mann Iteration

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