L-Fuzzy fixed point results in ℱ -metric spaces with applications

• Autorzy: Lateef Durdana

Identyfikatory

DOI

10.1515/dema-2022-0206

• Języki publikacji: EN

Abstrakty

EN

Jleli and Samet in [On a new generalization of metric spaces, J. Fixed Point Theory Appl. 20 (2018), 128 (20 pages)] introduced the notion of ℱ -metric space as a generalization of traditional metric space and proved Banach contraction principle in the setting of this generalized metric space. The objective of this article is to use ℱ -metric space and establish some common fixed point theorems for (β-ψ)-contractions. Our results expand, generalize, and consolidate several known results in the literature. As applications of the main result, the solution for fuzzy initial-value problems in the background of a generalized Hukuhara derivative was discussed.

Słowa kluczowe

EN

ℱ-metric space; fixed point; β-admissible; Hukuhara derivative

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20220206
• Opis fizyczny: Bibliogr. 36 poz.

Twórcy

autor

Lateef Durdana

• Department of Mathematics, College of Science, Taibah University, Al Madina Al Munawwara, Madina 41411, Saudi Arabia

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).