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Problemy Analiza — Issues of Analysis, 2022, Volume 11(29), Issue 3, Pages 109–124
DOI: https://doi.org/10.15393/j3.art.2022.12030 (Mi pa363) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On multivalued $\perp_{\psi F}$-contractions on generalized orthogonal sets with an application to integral inclusions

Y. Touail

Technologies de l'Information et de la Communication (MATIC), Polydisciplinary Faculty of Khouribga, BP. 25000, Sultan Moulay Slimane University of Beni-Mellal, Morocco
Full-text PDF (600 kB) Citations (4)
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DOI: https://doi.org/10.15393/j3.art.2022.12030
Abstract: We study existence of fixed points for multivalued $\perp_{\psi F}$ -contractions in the setting of generalized orthogonal sets by extending some basic notions related to this new direction of research. The proven theorems generalize and improve many known results in the literature. Also, an application to a Volterra-type integral inclusion is provided.
Keywords: multivalued $\perp_{\psi F}$ -Contractions,Fixed point, generalized orthogonal set, generalized orthogonal complete metric space, integral inclusion.
Received: 23.06.2022
Revised: 16.09.2022
Accepted: 17.09.2022
Bibliographic databases:
Document Type: Article
UDC: 517.98
MSC: 47H10, 47H04, 54H25
Language: English
Citation: Y. Touail, “On multivalued $\perp_{\psi F}$-contractions on generalized orthogonal sets with an application to integral inclusions”, Probl. Anal. Issues Anal., 11(29):3 (2022), 109–124
Citation in format AMSBIB
\Bibitem{Tou22}
\by Y.~Touail
\paper On multivalued $\perp_{\psi F}$-contractions on generalized orthogonal sets with an application to integral inclusions
\jour Probl. Anal. Issues Anal.
\yr 2022
\vol 11(29)
\issue 3
\pages 109--124
\mathnet{http://mi.mathnet.ru/pa363}
\crossref{https://doi.org/10.15393/j3.art.2022.12030}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4463288}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Problemy Analiza — Issues of Analysis
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