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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 6

Fixed points of Kannan and Reich interpolative contractions in controlled metric spaces

Deepak Singh, Manoj Ughade, Alok Kumar, Manoj Kumar Shukla

PDF (259.9Β KB) https://doi.org/10.28919/afpt/8315

Abstract

In this paper, we introduce (πœ†, 𝛼)-interpolative Kannan contraction, (πœ†, 𝛼, 𝛽)-interpolative Kannan contraction and (πœ†, 𝛼, 𝛽, 𝛾)-interpolative Reich contraction. Also, we establish some fixed-point theorems in complete controlled metric spaces. Additionally, these theorems expand and apply a number of intriguing findings from metric fixed-point theory to the controlled metric setting.

Published
25 January 2024
Volume
14 (2024)
License
CC BY 3.0

Copyright © 2024 Deepak Singh, Manoj Ughade, Alok Kumar, 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

D. Singh, M. Ughade, A. Kumar, M. K. Shukla, Fixed points of Kannan and Reich interpolative contractions in controlled metric spaces, Adv. Fixed Point Theory 14 (2024), 6. https://doi.org/10.28919/afpt/8315

BibTeX
@article{Singh2024,
  author  = {Singh, Deepak and Ughade, Manoj and Kumar, Alok and Shukla, Manoj Kumar},
  title   = {Fixed points of Kannan and Reich interpolative contractions in controlled metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {14},
  year    = {2024},
  pages   = {6},
  doi     = {10.28919/afpt/8315}
}