Abstract:
In this paper, we introduce the concept of Tβ-contraction for a pair of commuting self-mappings and prove a common fixed point theorem for this type.
Our results improve and extend many existing results in the literature.
The paper also contains an application for non-linear integral equations.
Keywords:
fixed point, Tβ-contraction, T−α-admissible, τ-distance.
Citation:
Y. Touail, A. Jaid, D. El Moutawakil, “A note on common fixed point theorems in a bounded metric space”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 27:2 (2023), 241–249