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Peer-reviewedCC BY 4.0Mathematics

Fixed Point for Some Polynomial Contractions

  • Doha A. Abulhamil1
  • Saud M. Alsulami2
  1. 1Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah 21493, Saudi Arabia
  2. 2Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
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Abstract

In this paper, we introduce the notion of Kannan polynomial contraction in the setting of metric spaces and establish the existence and uniqueness of fixed points for this class of mappings. Furthermore, we extend the study to b-metric spaces by investigating polynomial contractions and Kannan polynomial contractions in this generalized framework. Sufficient conditions are provided to guaranty the existence and uniqueness of fixed points in b-metric spaces. The results obtained extend several known fixed point theorems from metric spaces to b-metric spaces. Moreover, we illustrate our results with several examples and applications.

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Cite

BibTeXRIS
BibTeX
@article{abulhamil2026fixed,
  title = {{Fixed Point for Some Polynomial Contractions}},
  author = {Doha A. Abulhamil and Saud M. Alsulami},
  journal = {Mathematics},
  year = {2026},
  month = oct,
  doi = {10.3390/math14213879},
  url = {https://www.mdpi.com/2227-7390/14/21/3879},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Fixed Point for Some Polynomial Contractions
AU  - Doha A. Abulhamil
AU  - Saud M. Alsulami
PY  - 2026
DA  - 2026/10/24
JO  - Mathematics
DO  - 10.3390/math14213879
UR  - https://www.mdpi.com/2227-7390/14/21/3879
AB  - In this paper, we introduce the notion of Kannan polynomial contraction in the setting of metric spaces and establish the existence and uniqueness of fixed points for this class of mappings. Furthermore, we extend the study to b-metric spaces by investigating polynomial contractions and Kannan polynomial contractions in this generalized framework. Sufficient conditions are provided to guaranty the existence and uniqueness of fixed points in b-metric spaces. The results obtained extend several known fixed point theorems from metric spaces to b-metric spaces. Moreover, we illustrate our results with several examples and applications.
SN  - 2227-7390
ER  -