Fixed Point for Some Polynomial Contractions
Year: 2026
Type: article
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.
Source: Mathematics
DOI: 10.3390/math14213879
Authors: Doha A. abulhamail, Saud M. Alsulami
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W7213547400