Fixed Point Results for Fractal Generation in Extended Jungck-SP Orbit

Xiangyang Li; Muhammad Tanveer; Mujahid Abbas; Maqbool Ahmad; Young Chel Kwun; Jing Liu

doi:10.1109/ACCESS.2019.2951385

Fixed Point Results for Fractal Generation in Extended Jungck-SP Orbit

Xiangyang Li
, Muhammad Tanveer
, Mujahid Abbas
, Maqbool Ahmad
, Young Chel Kwun
, Jing Liu

Ningbo University of Finance and Economics
The University of Lahore
Government College University Lahore
University of Pretoria
Dong-A University

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

20 Citations (Scopus)

Abstract

In this paper, we extend Jungck-SP iteration with s-convexity in second sense and define its orbit. We prove the fixed point results for fractal generation via extended iteration and utilize these results to develop algorithms for fractal visualization. Moreover, we present some complex graphs of Julia and Mandelbrot sets in Jungck-SP orbit with s-convexity. We also present some examples to show the variation in images with involved parameters.

Original language	English
Article number	8890803
Pages (from-to)	160472-160481
Number of pages	10
Journal	IEEE Access
Volume	7
DOIs	https://doi.org/10.1109/ACCESS.2019.2951385
Publication status	Published - 2019
Externally published	Yes

Keywords

Jungck-SP
complex graphics
escape radius

ASJC Scopus subject areas

General Computer Science
General Materials Science
General Engineering

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10.1109/ACCESS.2019.2951385

Cite this

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title = "Fixed Point Results for Fractal Generation in Extended Jungck-SP Orbit",

abstract = "In this paper, we extend Jungck-SP iteration with s-convexity in second sense and define its orbit. We prove the fixed point results for fractal generation via extended iteration and utilize these results to develop algorithms for fractal visualization. Moreover, we present some complex graphs of Julia and Mandelbrot sets in Jungck-SP orbit with s-convexity. We also present some examples to show the variation in images with involved parameters.",

keywords = "Jungck-SP, complex graphics, escape radius",

author = "Xiangyang Li and Muhammad Tanveer and Mujahid Abbas and Maqbool Ahmad and Kwun, \{Young Chel\} and Jing Liu",

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

year = "2019",

doi = "10.1109/ACCESS.2019.2951385",

language = "English",

volume = "7",

pages = "160472--160481",

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T1 - Fixed Point Results for Fractal Generation in Extended Jungck-SP Orbit

AU - Li, Xiangyang

AU - Tanveer, Muhammad

AU - Abbas, Mujahid

AU - Ahmad, Maqbool

AU - Kwun, Young Chel

AU - Liu, Jing

PY - 2019

Y1 - 2019

N2 - In this paper, we extend Jungck-SP iteration with s-convexity in second sense and define its orbit. We prove the fixed point results for fractal generation via extended iteration and utilize these results to develop algorithms for fractal visualization. Moreover, we present some complex graphs of Julia and Mandelbrot sets in Jungck-SP orbit with s-convexity. We also present some examples to show the variation in images with involved parameters.

AB - In this paper, we extend Jungck-SP iteration with s-convexity in second sense and define its orbit. We prove the fixed point results for fractal generation via extended iteration and utilize these results to develop algorithms for fractal visualization. Moreover, we present some complex graphs of Julia and Mandelbrot sets in Jungck-SP orbit with s-convexity. We also present some examples to show the variation in images with involved parameters.

KW - Jungck-SP

KW - complex graphics

KW - escape radius

UR - https://www.scopus.com/pages/publications/85078234418

U2 - 10.1109/ACCESS.2019.2951385

DO - 10.1109/ACCESS.2019.2951385

M3 - Article

AN - SCOPUS:85078234418

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VL - 7

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EP - 160481

JO - IEEE Access

JF - IEEE Access

M1 - 8890803

ER -

Fixed Point Results for Fractal Generation in Extended Jungck-SP Orbit

Abstract

Keywords

ASJC Scopus subject areas

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