A Fixed Point Technique for Set-Valued Contractions with Supportive Applications
In this manuscript, exciting fixed point results for a pair of multivalued mappings justifying rational Gupta-Saxena type Ω-contractions in the setting of extended b-metric-like spaces are established. The theoretical results have also been strengthened by some nontrivial examples. Finally, the theo...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/6880478 |
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| author | Hasanen A. Hammad Manuel De la Sen |
| author_facet | Hasanen A. Hammad Manuel De la Sen |
| author_sort | Hasanen A. Hammad |
| collection | DOAJ |
| description | In this manuscript, exciting fixed point results for a pair of multivalued mappings justifying rational Gupta-Saxena type Ω-contractions in the setting of extended b-metric-like spaces are established. The theoretical results have also been strengthened by some nontrivial examples. Finally, the theoretical results are used to study the existence of the solution of Fredholm integral equation which arises from the damped harmonic oscillator, to study initial value problem which arises from Newton’s law of cooling and to study infinite systems of fractional ordinary differential equations (ODEs). |
| format | Article |
| id | doaj-art-0db6ebfb5c9e4c5caf182a2a6ec6b2a4 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-0db6ebfb5c9e4c5caf182a2a6ec6b2a42025-02-03T05:43:48ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/68804786880478A Fixed Point Technique for Set-Valued Contractions with Supportive ApplicationsHasanen A. Hammad0Manuel De la Sen1Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, EgyptInstitute of Research and Development of Processes, University of the Basque Country, 48940 Leioa Bizkaia, SpainIn this manuscript, exciting fixed point results for a pair of multivalued mappings justifying rational Gupta-Saxena type Ω-contractions in the setting of extended b-metric-like spaces are established. The theoretical results have also been strengthened by some nontrivial examples. Finally, the theoretical results are used to study the existence of the solution of Fredholm integral equation which arises from the damped harmonic oscillator, to study initial value problem which arises from Newton’s law of cooling and to study infinite systems of fractional ordinary differential equations (ODEs).http://dx.doi.org/10.1155/2021/6880478 |
| spellingShingle | Hasanen A. Hammad Manuel De la Sen A Fixed Point Technique for Set-Valued Contractions with Supportive Applications Advances in Mathematical Physics |
| title | A Fixed Point Technique for Set-Valued Contractions with Supportive Applications |
| title_full | A Fixed Point Technique for Set-Valued Contractions with Supportive Applications |
| title_fullStr | A Fixed Point Technique for Set-Valued Contractions with Supportive Applications |
| title_full_unstemmed | A Fixed Point Technique for Set-Valued Contractions with Supportive Applications |
| title_short | A Fixed Point Technique for Set-Valued Contractions with Supportive Applications |
| title_sort | fixed point technique for set valued contractions with supportive applications |
| url | http://dx.doi.org/10.1155/2021/6880478 |
| work_keys_str_mv | AT hasanenahammad afixedpointtechniqueforsetvaluedcontractionswithsupportiveapplications AT manueldelasen afixedpointtechniqueforsetvaluedcontractionswithsupportiveapplications AT hasanenahammad fixedpointtechniqueforsetvaluedcontractionswithsupportiveapplications AT manueldelasen fixedpointtechniqueforsetvaluedcontractionswithsupportiveapplications |