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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, Volume 11, Issue 1, Pages 152–160
DOI: https://doi.org/10.21638/spbu01.2024.110 (Mi vspua286) 		 
MATHEMATICS

Remarks and a generalization of Hedudus-Szilagyis fixed point theorem

Y. Touaila, D. El Moutawakilb

a Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fez, 30050, Morocco
b Université Chouaib Doukkali, Morocco, El Jadida
Full-text PDF (293 kB)
DOI: https://doi.org/10.21638/spbu01.2024.110
Abstract: A new generalization of the so-called Hedudüs-Szilágyi's fixed point theorem by introducing a new contractive condition in the framework of complete metric spaces. As application, we get a new fixed point theorem which generalizes and improves many known results in literature.
Keywords: Hedudus-Szilagyi's fixed point theorem, complete metric spaces, new type contractive condition, Meir-Keeler contraction, orbit.
Received: 26.01.2023
Revised: 15.08.2023
Accepted: 31.08.2023
Document Type: Article
UDC: 517.1
MSC: 47H10, 54H25
Language: Russian
Citation: Y. Touail, D. El Moutawakil, “Remarks and a generalization of Hedudus-Szilagyis fixed point theorem”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:1 (2024), 152–160
Citation in format AMSBIB
\Bibitem{TouEl 24}
\by Y.~Touail, D.~El Moutawakil
\paper Remarks and a generalization of Hedudus-Szilagyis fixed point theorem
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2024
\vol 11
\issue 1
\pages 152--160
\mathnet{http://mi.mathnet.ru/vspua286}
\crossref{https://doi.org/10.21638/spbu01.2024.110}
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