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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 26

Fixed points theorems for generalized (α-φ)-Meir-Keeler Gregus quadratic type hybrid contraction mappings via simulation function in b-metric spaces

Rakesh Tiwari, Nidhi Sharma

Abstract

In this paper, we introduce the notion of generalized (α,φ)-Meir-Keeler Gregus quadratic Type hybrid contractive mappings of type I and II via simulation function and establish fixed point theorems for such mappings in the setting of complete b-metric spaces. Finally, we provide an example in support of our main finding.

Published
10 June 2024
Volume
14 (2024)
License
CC BY 3.0

Copyright © 2024 Rakesh Tiwari, Nidhi Sharma. 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. Tiwari, N. Sharma, Fixed points theorems for generalized (α-φ)-Meir-Keeler Gregus quadratic type hybrid contraction mappings via simulation function in b-metric spaces, Adv. Fixed Point Theory 14 (2024), 26. https://doi.org/10.28919/afpt/8602

BibTeX
@article{Tiwari2024,
  author  = {Tiwari, Rakesh and Sharma, Nidhi},
  title   = {Fixed points theorems for generalized (α-φ)-Meir-Keeler Gregus quadratic type hybrid contraction mappings via simulation function in b-metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {14},
  year    = {2024},
  pages   = {26},
  doi     = {10.28919/afpt/8602}
}