Fixed point results for fractal generation in Noor orbit and s-convexity.
In this note, we give fixed point results in fractal generation (Julia sets and Mandelbrot sets) by using Noor iteration scheme with s-convexity. Researchers have already presented fixed point results in Mann and Ishikawa orbits that are examples of one-step and two-step feedback processes respectively. In this paper we present fixed point results in Noor orbit, which is a three-step iterative procedure.
Department of Mathematics and RINS, Gyeongsang National University, Jinju, 52828 Korea.
Sun Young
SY
Cho
Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan.
Abdul Aziz
AA
Shahid
Division of Science and Technology, University of Education, Lahore, Pakistan.
Waqas
W
Nazeer
Department of Mathematics and RINS, Gyeongsang National University, Jinju, 52828 Korea.
Shin Min
SM
Kang
Julia set; Mandelbrot set; Noor orbit; S-convexity