Applications to Boundary Value Problems and Homotopy Theory via Tripled Fixed Point Techniques in Partially Metric Spaces
In this manuscript, some tripled fixed point results were derived under <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>φ</mi><mo>,</mo><mi>ρ</mi&...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/16/2012 |
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| author | Hasanen A. Hammad Praveen Agarwal Juan L. G. Guirao |
| author_facet | Hasanen A. Hammad Praveen Agarwal Juan L. G. Guirao |
| author_sort | Hasanen A. Hammad |
| collection | DOAJ |
| description | In this manuscript, some tripled fixed point results were derived under <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>φ</mi><mo>,</mo><mi>ρ</mi><mo>,</mo><mo>ℓ</mo><mo>)</mo></mrow></semantics></math></inline-formula>-contraction in the framework of ordered partially metric spaces. Moreover, we furnish an example which supports our theorem. Furthermore, some results about a homotopy results are obtained. Finally, theoretical results are involved in some applications, such as finding the unique solution to the boundary value problems and homotopy theory. |
| first_indexed | 2024-03-10T08:37:35Z |
| format | Article |
| id | doaj.art-e723c887bba440789df5705f8bc6370b |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T08:37:35Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-e723c887bba440789df5705f8bc6370b2023-11-22T08:35:15ZengMDPI AGMathematics2227-73902021-08-01916201210.3390/math9162012Applications to Boundary Value Problems and Homotopy Theory via Tripled Fixed Point Techniques in Partially Metric SpacesHasanen A. Hammad0Praveen Agarwal1Juan L. G. Guirao2Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, EgyptDepartment of Mathematics, Anand International College of Engineering, Jaipur 302012, IndiaDepartamento de Matematica Aplicada y Estadistica, Universidad Politecnica de Cartagena, Hospital de Marina, 30203 Murcia, SpainIn this manuscript, some tripled fixed point results were derived under <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>φ</mi><mo>,</mo><mi>ρ</mi><mo>,</mo><mo>ℓ</mo><mo>)</mo></mrow></semantics></math></inline-formula>-contraction in the framework of ordered partially metric spaces. Moreover, we furnish an example which supports our theorem. Furthermore, some results about a homotopy results are obtained. Finally, theoretical results are involved in some applications, such as finding the unique solution to the boundary value problems and homotopy theory.https://www.mdpi.com/2227-7390/9/16/2012tripled fixed pointboundary value problemhomotopy theorypartially ordered metric space |
| spellingShingle | Hasanen A. Hammad Praveen Agarwal Juan L. G. Guirao Applications to Boundary Value Problems and Homotopy Theory via Tripled Fixed Point Techniques in Partially Metric Spaces Mathematics tripled fixed point boundary value problem homotopy theory partially ordered metric space |
| title | Applications to Boundary Value Problems and Homotopy Theory via Tripled Fixed Point Techniques in Partially Metric Spaces |
| title_full | Applications to Boundary Value Problems and Homotopy Theory via Tripled Fixed Point Techniques in Partially Metric Spaces |
| title_fullStr | Applications to Boundary Value Problems and Homotopy Theory via Tripled Fixed Point Techniques in Partially Metric Spaces |
| title_full_unstemmed | Applications to Boundary Value Problems and Homotopy Theory via Tripled Fixed Point Techniques in Partially Metric Spaces |
| title_short | Applications to Boundary Value Problems and Homotopy Theory via Tripled Fixed Point Techniques in Partially Metric Spaces |
| title_sort | applications to boundary value problems and homotopy theory via tripled fixed point techniques in partially metric spaces |
| topic | tripled fixed point boundary value problem homotopy theory partially ordered metric space |
| url | https://www.mdpi.com/2227-7390/9/16/2012 |
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