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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2024, Volume 28, Number 4, Pages 790–798
DOI: https://doi.org/10.14498/vsgtu2074 (Mi vsgtu2074) 		 
Short Communication
Differential Equations and Mathematical Physics

A common fixed-point result via a supplemental function with an application

Y. Touaila, A. Jaidb, D. El Moutawakilc

a Université Sidi Mohamed Ben Abdellah, Fez, Morocco
b Université Sultan Moulay Slimane, Beni-Mellal, Morocco
c Université Chouaib Doukkali, El Jadida, Morocco
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DOI: https://doi.org/10.14498/vsgtu2074
Abstract: 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
Received: October 1, 2023
Revised: October 23, 2024
Accepted: December 16, 2024
First online: December 25, 2024
Bibliographic databases:
Document Type: Article
UDC: 517.988.523
MSC: 47H09, 47H10, 54H25
Language: English
Citation: Y. Touail, A. Jaid, D. El Moutawakil, “A common fixed-point result via a supplemental function with an application”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 28:4 (2024), 790–798
Citation in format AMSBIB
\Bibitem{TouJaiEl 24}
\by Y.~Touail, A.~Jaid, D.~El Moutawakil
\paper A common fixed-point result via a supplemental function with an application
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2024
\vol 28
\issue 4
\pages 790--798
\mathnet{http://mi.mathnet.ru/vsgtu2074}
\crossref{https://doi.org/10.14498/vsgtu2074}
\edn{https://elibrary.ru/PXHWMS}
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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