Geodesic
A common fixed-point result via a supplemental function with an application
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 28 (2024) no. 4, pp. 790-798

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In this paper, we prove a novel common fixed-point theorem for two commuting mappings. This assertion is proved using the measure of non-compactness in Banach spaces. Moreover, an application is given to demonstrate the usability of the obtained results.
Keywords: fixed point, measure of non-compactness, $\mathcal{T}$-contraction 
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Y. Touail; A. Jaid; D. El Moutawakil. A common fixed-point result via a supplemental function with an application. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 28 (2024) no. 4, pp. 790-798. http://geodesic.mathdoc.fr/item/VSGTU_2024_28_4_a9/