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

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Adv. Fixed Point Theory 13 (2023), Article ID 24

Fixed-points of interpolative Kannan type contractions in bipolar metric spaces

Sheetal Yadav, Manoj Ughade, Manoj Kumar Shukla

PDF (238.7 KB) https://doi.org/10.28919/afpt/8238

Abstract

In this paper, we introduce (𝜆, 𝛼)-interpolative and (𝜆, 𝛼, 𝛽)-interpolative Kannan type contractions and establish some fixed-point theorems in bipolar metric spaces. Additionally, these theorems expand and apply a number of intriguing findings from metric fixed-point theory to the bipolar metric setting.

Published
21 November 2023
Volume
13 (2023)
License
CC BY 3.0

Copyright © 2023 Sheetal Yadav, Manoj Ughade, Manoj Kumar Shukla. 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. Yadav, M. Ughade, M. K. Shukla, Fixed-points of interpolative Kannan type contractions in bipolar metric spaces, Adv. Fixed Point Theory 13 (2023), 24. https://doi.org/10.28919/afpt/8238

BibTeX
@article{Yadav2023,
  author  = {Yadav, Sheetal and Ughade, Manoj and Shukla, Manoj Kumar},
  title   = {Fixed-points of interpolative Kannan type contractions in bipolar metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {13},
  year    = {2023},
  pages   = {24},
  doi     = {10.28919/afpt/8238}
}