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J. Math. Comput. Sci. 12 (2022), Article ID 28

Some fixed points of α-Meir-Keeler contraction mappings in Gb-metric spaces

Mairembam Bina Devi

Abstract

In this note, we define the notion of Meir-Keeler contraction in Gb-metric spaces. Further, by adding the concept of α-admissible, we introduce the definition of generalised α-Meir-Keeler contraction and used it for examining the existence of fixed points and uniqueness. Various results are also given as consequence of our results.

Published
9 December 2021
Volume
12 (2022)
License
CC BY 3.0

Copyright © 2021 Mairembam Bina Devi. 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

M. B. Devi, Some fixed points of α-Meir-Keeler contraction mappings in Gb-metric spaces, J. Math. Comput. Sci. 12 (2022), 28. https://doi.org/10.28919/jmcs/6826

BibTeX
@article{Devi2022,
  author  = {Devi, Mairembam Bina},
  title   = {Some fixed points of α-Meir-Keeler contraction mappings in Gb-metric spaces},
  journal = {J. Math. Comput. Sci.},
  volume  = {12},
  year    = {2022},
  pages   = {28},
  doi     = {10.28919/jmcs/6826}
}