The Solvability of Fourth-Order Differential Equations under Almost Hardy–Rogers ψ,ϕ-Type Multivalued Contractions in M℘-Metric Space
This paper aims to introduce a novel variation of almost Hardy–Rogers ψ,ϕ-type multivalued contraction and ϑ-type contraction mappings. The main focus is on proving new fixed point (FP) results in M℘-metric space (M℘-MS). Additionally, several consequences are derived from our main findings. To eluc...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2024/6620429 |
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| _version_ | 1832559293493149696 |
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| author | Mustafa Mudhesh Muhammad Arshad Aftab Hussain Amer Hassan Albargi Eskandar Ameer |
| author_facet | Mustafa Mudhesh Muhammad Arshad Aftab Hussain Amer Hassan Albargi Eskandar Ameer |
| author_sort | Mustafa Mudhesh |
| collection | DOAJ |
| description | This paper aims to introduce a novel variation of almost Hardy–Rogers ψ,ϕ-type multivalued contraction and ϑ-type contraction mappings. The main focus is on proving new fixed point (FP) results in M℘-metric space (M℘-MS). Additionally, several consequences are derived from our main findings. To elucidate the recency of our outcomes, various examples are provided. Finally, we utilize the obtained results to scrutinize the existence of solutions for nonlinear fourth-order differential equations (NFODEs). |
| format | Article |
| id | doaj-art-8b1d128fec4f4b87bd2cff0feb355578 |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8b1d128fec4f4b87bd2cff0feb3555782025-02-03T01:30:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252024-01-01202410.1155/2024/6620429The Solvability of Fourth-Order Differential Equations under Almost Hardy–Rogers ψ,ϕ-Type Multivalued Contractions in M℘-Metric SpaceMustafa Mudhesh0Muhammad Arshad1Aftab Hussain2Amer Hassan Albargi3Eskandar Ameer4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThis paper aims to introduce a novel variation of almost Hardy–Rogers ψ,ϕ-type multivalued contraction and ϑ-type contraction mappings. The main focus is on proving new fixed point (FP) results in M℘-metric space (M℘-MS). Additionally, several consequences are derived from our main findings. To elucidate the recency of our outcomes, various examples are provided. Finally, we utilize the obtained results to scrutinize the existence of solutions for nonlinear fourth-order differential equations (NFODEs).http://dx.doi.org/10.1155/2024/6620429 |
| spellingShingle | Mustafa Mudhesh Muhammad Arshad Aftab Hussain Amer Hassan Albargi Eskandar Ameer The Solvability of Fourth-Order Differential Equations under Almost Hardy–Rogers ψ,ϕ-Type Multivalued Contractions in M℘-Metric Space International Journal of Mathematics and Mathematical Sciences |
| title | The Solvability of Fourth-Order Differential Equations under Almost Hardy–Rogers ψ,ϕ-Type Multivalued Contractions in M℘-Metric Space |
| title_full | The Solvability of Fourth-Order Differential Equations under Almost Hardy–Rogers ψ,ϕ-Type Multivalued Contractions in M℘-Metric Space |
| title_fullStr | The Solvability of Fourth-Order Differential Equations under Almost Hardy–Rogers ψ,ϕ-Type Multivalued Contractions in M℘-Metric Space |
| title_full_unstemmed | The Solvability of Fourth-Order Differential Equations under Almost Hardy–Rogers ψ,ϕ-Type Multivalued Contractions in M℘-Metric Space |
| title_short | The Solvability of Fourth-Order Differential Equations under Almost Hardy–Rogers ψ,ϕ-Type Multivalued Contractions in M℘-Metric Space |
| title_sort | solvability of fourth order differential equations under almost hardy rogers ψ ϕ type multivalued contractions in mp metric space |
| url | http://dx.doi.org/10.1155/2024/6620429 |
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