Fractal Generation in Modified Jungck-S Orbit

Young Chel Kwun; Muhammad Tanveer; Waqas Nazeer; Mujahid Abbas; Shin Min Kang

doi:10.1109/ACCESS.2019.2904677

Fractal Generation in Modified Jungck-S Orbit

Young Chel Kwun
, Muhammad Tanveer
, Waqas Nazeer
, Mujahid Abbas
, Shin Min Kang

Research output: Contribution to journal › Article › peer-review

38 Citations (Scopus)

Abstract

The aim of this paper is to modify the Jungck-S iterative scheme by adding the idea of s -convexity. We define and analyze the modified Jungck-S orbit (MJSO) with s -convex combination and derive the escape criterion for MJSO. Moreover, we establish the algorithms to visualize some Julia sets, Mandelbrot sets, and biomorphs in this orbit. In the biomorph generation algorithm, we did not fix the threshold radius of proposed orbit (i.e., MJSO) as fixed in literature earlier. We also discuss the graphical behavior of some complex polynomials in the generation of Julia sets, Mandelbrot sets, and biomorphs in MJSO.

Original language	English
Article number	8665858
Pages (from-to)	35060-35071
Number of pages	12
Journal	IEEE Access
Volume	7
DOIs	https://doi.org/10.1109/ACCESS.2019.2904677
Publication status	Published - 2019
Externally published	Yes

Keywords

Jungck-S orbit
biomorph
escape radius
s-convexity

ASJC Scopus subject areas

General Computer Science
General Materials Science
General Engineering

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10.1109/ACCESS.2019.2904677

Cite this

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title = "Fractal Generation in Modified Jungck-S Orbit",

abstract = "The aim of this paper is to modify the Jungck-S iterative scheme by adding the idea of s -convexity. We define and analyze the modified Jungck-S orbit (MJSO) with s -convex combination and derive the escape criterion for MJSO. Moreover, we establish the algorithms to visualize some Julia sets, Mandelbrot sets, and biomorphs in this orbit. In the biomorph generation algorithm, we did not fix the threshold radius of proposed orbit (i.e., MJSO) as fixed in literature earlier. We also discuss the graphical behavior of some complex polynomials in the generation of Julia sets, Mandelbrot sets, and biomorphs in MJSO.",

keywords = "Jungck-S orbit, biomorph, escape radius, s-convexity",

author = "Kwun, \{Young Chel\} and Muhammad Tanveer and Waqas Nazeer and Mujahid Abbas and Kang, \{Shin Min\}",

note = "Publisher Copyright: {\textcopyright} 2013 IEEE.",

year = "2019",

doi = "10.1109/ACCESS.2019.2904677",

language = "English",

volume = "7",

pages = "35060--35071",

journal = "IEEE Access",

issn = "2169-3536",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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TY - JOUR

T1 - Fractal Generation in Modified Jungck-S Orbit

AU - Kwun, Young Chel

AU - Tanveer, Muhammad

AU - Nazeer, Waqas

AU - Abbas, Mujahid

AU - Kang, Shin Min

PY - 2019

Y1 - 2019

N2 - The aim of this paper is to modify the Jungck-S iterative scheme by adding the idea of s -convexity. We define and analyze the modified Jungck-S orbit (MJSO) with s -convex combination and derive the escape criterion for MJSO. Moreover, we establish the algorithms to visualize some Julia sets, Mandelbrot sets, and biomorphs in this orbit. In the biomorph generation algorithm, we did not fix the threshold radius of proposed orbit (i.e., MJSO) as fixed in literature earlier. We also discuss the graphical behavior of some complex polynomials in the generation of Julia sets, Mandelbrot sets, and biomorphs in MJSO.

AB - The aim of this paper is to modify the Jungck-S iterative scheme by adding the idea of s -convexity. We define and analyze the modified Jungck-S orbit (MJSO) with s -convex combination and derive the escape criterion for MJSO. Moreover, we establish the algorithms to visualize some Julia sets, Mandelbrot sets, and biomorphs in this orbit. In the biomorph generation algorithm, we did not fix the threshold radius of proposed orbit (i.e., MJSO) as fixed in literature earlier. We also discuss the graphical behavior of some complex polynomials in the generation of Julia sets, Mandelbrot sets, and biomorphs in MJSO.

KW - Jungck-S orbit

KW - biomorph

KW - escape radius

KW - s-convexity

UR - https://www.scopus.com/pages/publications/85063770823

U2 - 10.1109/ACCESS.2019.2904677

DO - 10.1109/ACCESS.2019.2904677

M3 - Article

AN - SCOPUS:85063770823

SN - 2169-3536

VL - 7

SP - 35060

EP - 35071

JO - IEEE Access

JF - IEEE Access

M1 - 8665858

ER -

Fractal Generation in Modified Jungck-S Orbit

Abstract

Keywords

ASJC Scopus subject areas

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