Advancements in Hybrid Fixed Point Results and F-Contractive Operators
The aim of this manuscript is to introduce a novel concept called Jaggi-type hybrid <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ϕ</mi></mrow></semantics&g...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-06-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/6/1253 |
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| author | Rosemary O. Ogbumba Mohammed Shehu Shagari Monairah Alansari Thwiba A. Khalid Elsayed A. E. Mohamed Awad A. Bakery |
| author_facet | Rosemary O. Ogbumba Mohammed Shehu Shagari Monairah Alansari Thwiba A. Khalid Elsayed A. E. Mohamed Awad A. Bakery |
| author_sort | Rosemary O. Ogbumba |
| collection | DOAJ |
| description | The aim of this manuscript is to introduce a novel concept called Jaggi-type hybrid <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ϕ</mi></mrow></semantics></math></inline-formula> -<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>F</mi><mo>)</mo></mrow></semantics></math></inline-formula>-contraction and establish some fixed point results for this class of contractions in the framework of <i>G</i>-metric space. The validity of the main result is shown by a suitable example and the realized improvements with respect to the corresponding literature are highlighted. By using the constructed example, it is observed that the results established herein cannot be deduced from their analogs in previously announced results in the literature. As an application, the existence and uniqueness of solutions to certain nonlinear Volterra integral equations are investigated to illustrate the utility of our obtained results. |
| first_indexed | 2024-03-11T01:53:14Z |
| format | Article |
| id | doaj.art-92fb7d33549b4af28521d6dc5898c776 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-11T01:53:14Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-92fb7d33549b4af28521d6dc5898c7762023-11-18T12:51:36ZengMDPI AGSymmetry2073-89942023-06-01156125310.3390/sym15061253Advancements in Hybrid Fixed Point Results and F-Contractive OperatorsRosemary O. Ogbumba0Mohammed Shehu Shagari1Monairah Alansari2Thwiba A. Khalid3Elsayed A. E. Mohamed4Awad A. Bakery5Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria 810211, NigeriaDepartment of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria 810211, NigeriaDepartment of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science and Arts, Al-Baha University, Baljurashi 1988, Saudi ArabiaDepartment of Mathematics, College of Science and Arts at Khulis, University of Jeddah, Jeddah 23955, Saudi ArabiaDepartment of Mathematics, College of Science and Arts at Khulis, University of Jeddah, Jeddah 23955, Saudi ArabiaThe aim of this manuscript is to introduce a novel concept called Jaggi-type hybrid <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ϕ</mi></mrow></semantics></math></inline-formula> -<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>F</mi><mo>)</mo></mrow></semantics></math></inline-formula>-contraction and establish some fixed point results for this class of contractions in the framework of <i>G</i>-metric space. The validity of the main result is shown by a suitable example and the realized improvements with respect to the corresponding literature are highlighted. By using the constructed example, it is observed that the results established herein cannot be deduced from their analogs in previously announced results in the literature. As an application, the existence and uniqueness of solutions to certain nonlinear Volterra integral equations are investigated to illustrate the utility of our obtained results.https://www.mdpi.com/2073-8994/15/6/1253F-contractionG-metricfixed pointhybrid contractionnonlinear integral equation |
| spellingShingle | Rosemary O. Ogbumba Mohammed Shehu Shagari Monairah Alansari Thwiba A. Khalid Elsayed A. E. Mohamed Awad A. Bakery Advancements in Hybrid Fixed Point Results and F-Contractive Operators Symmetry F-contraction G-metric fixed point hybrid contraction nonlinear integral equation |
| title | Advancements in Hybrid Fixed Point Results and F-Contractive Operators |
| title_full | Advancements in Hybrid Fixed Point Results and F-Contractive Operators |
| title_fullStr | Advancements in Hybrid Fixed Point Results and F-Contractive Operators |
| title_full_unstemmed | Advancements in Hybrid Fixed Point Results and F-Contractive Operators |
| title_short | Advancements in Hybrid Fixed Point Results and F-Contractive Operators |
| title_sort | advancements in hybrid fixed point results and f contractive operators |
| topic | F-contraction G-metric fixed point hybrid contraction nonlinear integral equation |
| url | https://www.mdpi.com/2073-8994/15/6/1253 |
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