Coupled coincidence point technique and its application for solving nonlinear integral equations in RPOCbML spaces
Abstract The aim of this paper is to obtain some new important consequences related to coupled coincidence points via C-class functions in the context of a regular partial ordered complete b-metric-like space (for short, RPOCbML space); this space arises from combining the results of b-metric-like s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s42787-019-0064-3 |
| _version_ | 1818622492614328320 |
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| author | Hasanen A. Hammad Dhekra M. Albaqeri Rashwan A. Rashwan |
| author_facet | Hasanen A. Hammad Dhekra M. Albaqeri Rashwan A. Rashwan |
| author_sort | Hasanen A. Hammad |
| collection | DOAJ |
| description | Abstract The aim of this paper is to obtain some new important consequences related to coupled coincidence points via C-class functions in the context of a regular partial ordered complete b-metric-like space (for short, RPOCbML space); this space arises from combining the results of b-metric-like space with partial metric space and adding the regularity condition. Finally, we support our theoretical results by some examples and an application about finding an analytical solution for nonlinear integral equations. |
| first_indexed | 2024-12-16T18:26:02Z |
| format | Article |
| id | doaj.art-749b347bddd64674a057b6eb79c94973 |
| institution | Directory Open Access Journal |
| issn | 2090-9128 |
| language | English |
| last_indexed | 2024-12-16T18:26:02Z |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-749b347bddd64674a057b6eb79c949732022-12-21T22:21:24ZengSpringerOpenJournal of the Egyptian Mathematical Society2090-91282020-01-0128111710.1186/s42787-019-0064-3Coupled coincidence point technique and its application for solving nonlinear integral equations in RPOCbML spacesHasanen A. Hammad0Dhekra M. Albaqeri1Rashwan A. Rashwan2Department of Mathematics, Faculty of Science, Sohag UniversityDepartment of Mathematics, Faculty of Education, Sanaa UniversityDepartment of Mathematics, Faculty of Science, Assuit UniversityAbstract The aim of this paper is to obtain some new important consequences related to coupled coincidence points via C-class functions in the context of a regular partial ordered complete b-metric-like space (for short, RPOCbML space); this space arises from combining the results of b-metric-like space with partial metric space and adding the regularity condition. Finally, we support our theoretical results by some examples and an application about finding an analytical solution for nonlinear integral equations.https://doi.org/10.1186/s42787-019-0064-3Coupled coincidence pointMetric-like spacesRegular propertyNonlinear integral equations |
| spellingShingle | Hasanen A. Hammad Dhekra M. Albaqeri Rashwan A. Rashwan Coupled coincidence point technique and its application for solving nonlinear integral equations in RPOCbML spaces Journal of the Egyptian Mathematical Society Coupled coincidence point Metric-like spaces Regular property Nonlinear integral equations |
| title | Coupled coincidence point technique and its application for solving nonlinear integral equations in RPOCbML spaces |
| title_full | Coupled coincidence point technique and its application for solving nonlinear integral equations in RPOCbML spaces |
| title_fullStr | Coupled coincidence point technique and its application for solving nonlinear integral equations in RPOCbML spaces |
| title_full_unstemmed | Coupled coincidence point technique and its application for solving nonlinear integral equations in RPOCbML spaces |
| title_short | Coupled coincidence point technique and its application for solving nonlinear integral equations in RPOCbML spaces |
| title_sort | coupled coincidence point technique and its application for solving nonlinear integral equations in rpocbml spaces |
| topic | Coupled coincidence point Metric-like spaces Regular property Nonlinear integral equations |
| url | https://doi.org/10.1186/s42787-019-0064-3 |
| work_keys_str_mv | AT hasanenahammad coupledcoincidencepointtechniqueanditsapplicationforsolvingnonlinearintegralequationsinrpocbmlspaces AT dhekramalbaqeri coupledcoincidencepointtechniqueanditsapplicationforsolvingnonlinearintegralequationsinrpocbmlspaces AT rashwanarashwan coupledcoincidencepointtechniqueanditsapplicationforsolvingnonlinearintegralequationsinrpocbmlspaces |