S-Pata-type contraction: a new approach to fixed-point theory with an application
Abstract In this paper, we introduce new types of contraction mappings named S-Pata-type contraction mapping and Generalized S-Pata-type contraction mapping in the framework of S-metric space. Then, we prove some new fixed-point results for S-Pata-type contraction mappings and Generalized S-Pata-typ...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-024-03136-y |
| _version_ | 1827276876271321088 |
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| author | Deep Chand Yumnam Rohen Naeem Saleem Maggie Aphane Asima Razzaque |
| author_facet | Deep Chand Yumnam Rohen Naeem Saleem Maggie Aphane Asima Razzaque |
| author_sort | Deep Chand |
| collection | DOAJ |
| description | Abstract In this paper, we introduce new types of contraction mappings named S-Pata-type contraction mapping and Generalized S-Pata-type contraction mapping in the framework of S-metric space. Then, we prove some new fixed-point results for S-Pata-type contraction mappings and Generalized S-Pata-type contraction mappings. To support our results, we provide examples to illustrate our findings and also apply these results to the ordinary differential equation to strengthen our conclusions. |
| first_indexed | 2024-04-24T07:10:22Z |
| format | Article |
| id | doaj.art-020219b60cbd4bfa8741b3381ed6188f |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-24T07:10:22Z |
| publishDate | 2024-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-020219b60cbd4bfa8741b3381ed6188f2024-04-21T11:33:41ZengSpringerOpenJournal of Inequalities and Applications1029-242X2024-04-012024111610.1186/s13660-024-03136-yS-Pata-type contraction: a new approach to fixed-point theory with an applicationDeep Chand0Yumnam Rohen1Naeem Saleem2Maggie Aphane3Asima Razzaque4Department of Mathematics, National Institute of Technology ManipurDepartment of Mathematics, National Institute of Technology ManipurDepartment of Mathematics, University of Management and TechnologyDepartment of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences UniversityDepartment of Basic Sciences, Preparatory Year, King Faisal University Al AhsaAbstract In this paper, we introduce new types of contraction mappings named S-Pata-type contraction mapping and Generalized S-Pata-type contraction mapping in the framework of S-metric space. Then, we prove some new fixed-point results for S-Pata-type contraction mappings and Generalized S-Pata-type contraction mappings. To support our results, we provide examples to illustrate our findings and also apply these results to the ordinary differential equation to strengthen our conclusions.https://doi.org/10.1186/s13660-024-03136-yFixed pointS-metric spacePata-type contractionS-Pata-type contraction |
| spellingShingle | Deep Chand Yumnam Rohen Naeem Saleem Maggie Aphane Asima Razzaque S-Pata-type contraction: a new approach to fixed-point theory with an application Journal of Inequalities and Applications Fixed point S-metric space Pata-type contraction S-Pata-type contraction |
| title | S-Pata-type contraction: a new approach to fixed-point theory with an application |
| title_full | S-Pata-type contraction: a new approach to fixed-point theory with an application |
| title_fullStr | S-Pata-type contraction: a new approach to fixed-point theory with an application |
| title_full_unstemmed | S-Pata-type contraction: a new approach to fixed-point theory with an application |
| title_short | S-Pata-type contraction: a new approach to fixed-point theory with an application |
| title_sort | s pata type contraction a new approach to fixed point theory with an application |
| topic | Fixed point S-metric space Pata-type contraction S-Pata-type contraction |
| url | https://doi.org/10.1186/s13660-024-03136-y |
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