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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 14

Common fixed point results for four maps satisfying contractive condition in multiplicative b-metric spaces

Rohit Kumar Verma, Prachi Singh, Kuleshwari -

PDF (131.3 KB) https://doi.org/10.28919/afpt/8491

Abstract

In this paper, we discuss the unique common fixed point of two pair of weakly compatible mappings on a complete multiplicative b-metric space, which satisfies the following inequality:
d(Sx,Ty)≤[k{max{d(Ax,By),d(Ax,Sx),d(By,Ty),d(Sx,By),d(Ax,Ty)}}]λ,
where A and S are weakly compatible, B and T also are weakly compatible. Our results improve and generalize the results of X. He et al. [3].

Published
22 April 2024
Volume
14 (2024)
License
CC BY 3.0

Copyright © 2024 Rohit Kumar Verma, Prachi Singh, Kuleshwari -. 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

R. K. Verma, P. Singh, K. -, Common fixed point results for four maps satisfying contractive condition in multiplicative b-metric spaces, Adv. Fixed Point Theory 14 (2024), 14. https://doi.org/10.28919/afpt/8491

BibTeX
@article{Verma2024,
  author  = {Verma, Rohit Kumar and Singh, Prachi and -, Kuleshwari},
  title   = {Common fixed point results for four maps satisfying contractive condition in multiplicative b-metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {14},
  year    = {2024},
  pages   = {14},
  doi     = {10.28919/afpt/8491}
}