Existence and uniqueness of solutions to a first-order differential equation via fixed point theorem in orthogonal metric space

DOI10.22190/FUMI1901123GzbMath1488.54134OpenAlexW2926085997WikidataQ115230229 ScholiaQ115230229MaRDI QIDQ3388561

Hasti Habibi, Madjid Eshaghi-Gordji

Publication date: 6 May 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi1901123g

zbMATH Keywords

existenceuniquenessfixed pointsolutiondifferential equationorthogonal set

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (5)

Fixed Point Results in Orthogonal Modular Metric Spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ BANACH FIXED POINT THEOREM ON ORTHOGONAL CONE METRIC SPACES ⋮ On the new Hyers–Ulam–Rassias stability of the generalized cubic set-valued mapping in the incomplete normed spaces

Cites Work

• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations
• Singular boundary value problems for first and second order impulsive differential equations
• Boundary value problems for a class of sequential integrodifferential equations of fractional order
• A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
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