COMMON FIXED POINT RESULTS FOR WEAKLY COMPATIBLE MAPPINGS WITH AN APPLICATION TO DETERMINISTIC FRACTALS-Reference-Cited by-同舟云学术

COMMON FIXED POINT RESULTS FOR WEAKLY COMPATIBLE MAPPINGS WITH AN APPLICATION TO DETERMINISTIC FRACTALS

Published:2022-07-12 Issue:06 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

KUMAM P.¹²^ORCID,JACOB G. K.³,ANSARI J. Ar. H.⁴,MARUDAI M.³,SEANGWATTANA T.⁵

Affiliation:

1. KMUTTFixed Point Research Laboratory, Department of Mathematics & KMUTT-Fixed, Point Theory and Applications Research Group (KMUTT-FPTA), Room SCL 802 Fixed Point Laboratory, Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126, Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand

2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

3. Department of Mathematics, Bharathidasan University, Trichy 620 024, Tamil Nadu, India

4. Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

5. Faculty of Science Energy and Environment, King Mongkut’s University of Technology North Bangkok, Rayong Campus (KMUTNB), 21120 Rayong, Thailand

Abstract

In this paper, we prove the existence of a common fixed point for generalized weakly Zamfirescu-type mappings. Finally, we give an application to our main result in the fractal space which proves the existence of a common attractor for a new kind of deterministic fractal.

Funder

Theoretical and Computational Science (TaCS) Center

National Science, Research and Innovation Fund (NSRF), King Mongkut's University of Technology North Bangkok

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22501110

Reference15 articles.