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http://localhost:8080/xmlui/handle/123456789/4116| Title: | G-METRIC SPACES AND THE RELATED APPROXIMATE FIXED POINT RESULTS |
| Authors: | THEIVARAMAN, R SRINIVASAN, P. S. MARUDAI, M THENMOZHI, S HERMINAU JOTHY, A |
| Keywords: | G-metric space; G−B contraction; G-Bianchini contraction; rational contraction; approximate fixed point |
| Issue Date: | 30-May-2024 |
| Publisher: | Bharathidasan University |
| Abstract: | In this paper, we investigate the existence and diameter of the approximate fixed point results on G metric spaces (not necessarily complete) by using various contraction mappings, including G − B contraction, G-Bianchini contraction, and so on. Additionally, we prove the same approximate fixed point results for rational type contraction mappings, which were discussed mainly in [11] and [16], in the setting of G-metric space. Also, a few examples are provided to demonstrate our findings. Finally, we discuss some applications of approximate fixed point results in the field of applied mathematics rigorously. |
| URI: | http://localhost:8080/xmlui/handle/123456789/4116 |
| ISSN: | 1927-6303 |
| Appears in Collections: | Department of Mathematics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 8178-17678-1-PB.pdf | 184.92 kB | Adobe PDF | View/Open |
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