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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MDPI AG
2022-07-01
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Series: | Symmetry |
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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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institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-03-09T05:47:48Z |
publishDate | 2022-07-01 |
publisher | MDPI AG |
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series | Symmetry |
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 |
work_keys_str_mv | AT hasanenahammad solvingasystemofdifferentialequationswithinfinitedelaybyusingtripledfixedpointtechniquesongraphs AT mohrazayed solvingasystemofdifferentialequationswithinfinitedelaybyusingtripledfixedpointtechniquesongraphs |