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

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Adv. Fixed Point Theory 14 (2024), Article ID 49

Existence of coincidence and common fixed points for extended rectangular b-metric spaces

Pheerachate Bunpatcharacharoen, Paiwan Wongsasinchai, Anantachai Padcharoen

Abstract

In this paper, we combine the (α,β)-admissible mappings and the simulation function to produce a generalized version of the Suzuki generalized rational type Z-contraction mapping. This concept is also used in the definition of extended rectangular b-metric spaces to obtain several popular fixed point theorems.

Published
26 August 2024
Volume
14 (2024)
License
CC BY 3.0

Copyright © 2024 Pheerachate Bunpatcharacharoen, Paiwan Wongsasinchai, Anantachai Padcharoen. 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

P. Bunpatcharacharoen, P. Wongsasinchai, A. Padcharoen, Existence of coincidence and common fixed points for extended rectangular b-metric spaces, Adv. Fixed Point Theory 14 (2024), 49. https://doi.org/10.28919/afpt/8710

BibTeX
@article{Bunpatcharacharoen2024,
  author  = {Bunpatcharacharoen, Pheerachate and Wongsasinchai, Paiwan and Padcharoen, Anantachai},
  title   = {Existence of coincidence and common fixed points for extended rectangular b-metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {14},
  year    = {2024},
  pages   = {49},
  doi     = {10.28919/afpt/8710}
}