Solving a System of Differential Equations with Infinite Delay by Using Tripled Fixed Point Techniques on Graphs

In this manuscript, some similar tripled fixed point results under certain restrictions on a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>b</mi><mo>−</mo></mrow></se...

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Main Authors: Hasanen A. Hammad, Mohra Zayed
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/14/7/1388
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author Hasanen A. Hammad
Mohra Zayed
author_facet Hasanen A. Hammad
Mohra Zayed
author_sort Hasanen A. Hammad
collection DOAJ
description In this manuscript, some similar tripled fixed point results under certain restrictions on a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>b</mi><mo>−</mo></mrow></semantics></math></inline-formula>metric space endowed with graphs are established. Furthermore, an example is provided to support our results. The obtained results extend, generalize, and unify several similar significant contributions in the literature. Finally, to further extend our results, the existence of a solution to a system of ordinary differential equations with infinite delay is derived.
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spelling doaj.art-0b6c66ed2cfb49c5882da49f003b4f312023-12-03T12:19:41ZengMDPI AGSymmetry2073-89942022-07-01147138810.3390/sym14071388Solving a System of Differential Equations with Infinite Delay by Using Tripled Fixed Point Techniques on GraphsHasanen A. Hammad0Mohra Zayed1Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah 52571, Saudi ArabiaMathematics Department, College of Science, King Khalid University, Abha 61413, Saudi ArabiaIn this manuscript, some similar tripled fixed point results under certain restrictions on a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>b</mi><mo>−</mo></mrow></semantics></math></inline-formula>metric space endowed with graphs are established. Furthermore, an example is provided to support our results. The obtained results extend, generalize, and unify several similar significant contributions in the literature. Finally, to further extend our results, the existence of a solution to a system of ordinary differential equations with infinite delay is derived.https://www.mdpi.com/2073-8994/14/7/1388tripled fixed pointedge-preservingdirected graph<i>b</i>-metric spacedifferential equation with infinite delay
spellingShingle Hasanen A. Hammad
Mohra Zayed
Solving a System of Differential Equations with Infinite Delay by Using Tripled Fixed Point Techniques on Graphs
Symmetry
tripled fixed point
edge-preserving
directed graph
<i>b</i>-metric space
differential equation with infinite delay
title Solving a System of Differential Equations with Infinite Delay by Using Tripled Fixed Point Techniques on Graphs
title_full Solving a System of Differential Equations with Infinite Delay by Using Tripled Fixed Point Techniques on Graphs
title_fullStr Solving a System of Differential Equations with Infinite Delay by Using Tripled Fixed Point Techniques on Graphs
title_full_unstemmed Solving a System of Differential Equations with Infinite Delay by Using Tripled Fixed Point Techniques on Graphs
title_short Solving a System of Differential Equations with Infinite Delay by Using Tripled Fixed Point Techniques on Graphs
title_sort solving a system of differential equations with infinite delay by using tripled fixed point techniques on graphs
topic tripled fixed point
edge-preserving
directed graph
<i>b</i>-metric space
differential equation with infinite delay
url https://www.mdpi.com/2073-8994/14/7/1388
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