New Fixed Point Results for Fractal Generation in Jungck Noor Orbit with s-Convexity

Shin Min Kang; Waqas Nazeer; Muhmmad Tanveer; Abdul Aziz Shahid

doi:10.1155/2015/963016

Journal of Function Spaces (Jan 2015)

New Fixed Point Results for Fractal Generation in Jungck Noor Orbit with s-Convexity

Shin Min Kang,
Waqas Nazeer,
Muhmmad Tanveer,
Abdul Aziz Shahid

Affiliations

Shin Min Kang: Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea
Waqas Nazeer: Division of Science and Technology, University of Education, Lahore 54000, Pakistan
Muhmmad Tanveer: Department of Mathematics, Lahore Leads University, Lahore 54810, Pakistan
Abdul Aziz Shahid: Department of Mathematics, Lahore Leads University, Lahore 54810, Pakistan

DOI: https://doi.org/10.1155/2015/963016
Journal volume & issue: Vol. 2015

Abstract

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We establish new fixed point results in the generation of fractals (Julia sets, Mandelbrot sets, and Tricorns and Multicorns for linear or nonlinear dynamics) by using Jungck Noor iteration with s-convexity.

Published in Journal of Function Spaces

ISSN: 2314-8896 (Print); 2314-8888 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.hindawi.com/journals/jfs/

About the journal