On escape criterion of an orbit with s−convexity and illustrations of the behavior shifts in Mandelbrot and Julia set fractals

• Khairul Habib Alam ,

  Roles Conceptualization, Formal analysis, Software, Writing – original draft, Writing – review & editing

  * E-mail: alamkh@nitmanipur.ac.in (KHA); naeem.saleem2@gmail.com (NS)

  Affiliation Department of Mathematics, National Institute of Technology Manipur, Imphal, Manipur, India

  https://orcid.org/0000-0001-9565-4223

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• Yumnam Rohen,

  Roles Formal analysis, Supervision, Writing – review & editing

  Affiliations Department of Mathematics, National Institute of Technology Manipur, Imphal, Manipur, India, Department of Mathematics, Manipur University, Imphal, Manipur, India

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• Naeem Saleem ,

  Roles Conceptualization, Formal analysis, Writing – review & editing

  * E-mail: alamkh@nitmanipur.ac.in (KHA); naeem.saleem2@gmail.com (NS)

  Affiliations Department of Mathematics, University of Management and Technology, Lahore, Pakistan, Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Pretoria, South Africa

  https://orcid.org/0000-0002-1485-6163

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• Maggie Aphane,

  Roles Investigation, Writing – review & editing

  Affiliation Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Pretoria, South Africa

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• Asima Razzaque

  Roles Writing – original draft

  Affiliations Department of Basic Sciences, Preparatory Year, King Faisal University, Al-Ahsa, Saudi Arabia, Department of Mathematics, College of Science, King Faisal University, Al-Ahsa, Saudi Arabia

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