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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 12 (2022), Article ID 4

Approximate fixed points of operators on modular G-metric spaces

S. A. M. Mohsenialhosseini

PDF (154.6 KB) https://doi.org/10.28919/afpt/6935

Abstract

In this paper, we will first introduce the approximate fixed point property and a new class of operators and contraction mapping for a cyclic map T on modular G-metric spaces. Also, we prove two general lemmas regarding approximate fixed Point of cyclic maps on modular G-metric spaces. Using these results we prove several approximate fixed point theorems for a new class of operators and contraction mapping on modular G-metric spaces.

Published
11 March 2022
Volume
12 (2022)
License
CC BY 3.0

Copyright © 2022 S. A. M. Mohsenialhosseini. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

S. A. M. Mohsenialhosseini, Approximate fixed points of operators on modular G-metric spaces, Adv. Fixed Point Theory 12 (2022), 4. https://doi.org/10.28919/afpt/6935

BibTeX
@article{Mohsenialhosseini2022,
  author  = {Mohsenialhosseini, S. A. M.},
  title   = {Approximate fixed points of operators on modular G-metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {12},
  year    = {2022},
  pages   = {4},
  doi     = {10.28919/afpt/6935}
}