Fixed-Point Results in Elliptic-Valued Metric Spaces with Applications
The primary objective of this research is to investigate the notion of elliptic-valued metric spaces and prove new fixed-point theorems for diverse generalized contractions. Our contributions extend several existing results in the field. To underscore the novelty of our main result, we provide a con...
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MDPI AG
2025-01-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/14/1/46 |
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| author | Badriah Alamri |
| author_facet | Badriah Alamri |
| author_sort | Badriah Alamri |
| collection | DOAJ |
| description | The primary objective of this research is to investigate the notion of elliptic-valued metric spaces and prove new fixed-point theorems for diverse generalized contractions. Our contributions extend several existing results in the field. To underscore the novelty of our main result, we provide a concrete example. Additionally, we showcase the practical relevance of our primary theorem by solving a Urysohn integral equation. |
| format | Article |
| id | doaj-art-04582e1895d145d5a6467a8d234ea38f |
| institution | Kabale University |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-04582e1895d145d5a6467a8d234ea38f2025-01-24T13:22:15ZengMDPI AGAxioms2075-16802025-01-011414610.3390/axioms14010046Fixed-Point Results in Elliptic-Valued Metric Spaces with ApplicationsBadriah Alamri0Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah 23218, Saudi ArabiaThe primary objective of this research is to investigate the notion of elliptic-valued metric spaces and prove new fixed-point theorems for diverse generalized contractions. Our contributions extend several existing results in the field. To underscore the novelty of our main result, we provide a concrete example. Additionally, we showcase the practical relevance of our primary theorem by solving a Urysohn integral equation.https://www.mdpi.com/2075-1680/14/1/46fixed pointKannan contractionChatterjea contractionDass and Gupta-type contractionelliptic-valued metric spaceUrysohn integral equation |
| spellingShingle | Badriah Alamri Fixed-Point Results in Elliptic-Valued Metric Spaces with Applications Axioms fixed point Kannan contraction Chatterjea contraction Dass and Gupta-type contraction elliptic-valued metric space Urysohn integral equation |
| title | Fixed-Point Results in Elliptic-Valued Metric Spaces with Applications |
| title_full | Fixed-Point Results in Elliptic-Valued Metric Spaces with Applications |
| title_fullStr | Fixed-Point Results in Elliptic-Valued Metric Spaces with Applications |
| title_full_unstemmed | Fixed-Point Results in Elliptic-Valued Metric Spaces with Applications |
| title_short | Fixed-Point Results in Elliptic-Valued Metric Spaces with Applications |
| title_sort | fixed point results in elliptic valued metric spaces with applications |
| topic | fixed point Kannan contraction Chatterjea contraction Dass and Gupta-type contraction elliptic-valued metric space Urysohn integral equation |
| url | https://www.mdpi.com/2075-1680/14/1/46 |
| work_keys_str_mv | AT badriahalamri fixedpointresultsinellipticvaluedmetricspaceswithapplications |