A new contraction principle on the perimeters of triangles and related results
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914256259121152 |
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| author | Senapati, Tanusri |
| author_facet | Senapati, Tanusri |
| contents | In this article, we introduce a new type of mapping contracting perimeters of triangles in a complete metric space and present related fixed point theorem. We study the metric completeness property of the underlying space in terms of fixed point of our newly introduced mapping. In support of our result, we present several examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_10138 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A new contraction principle on the perimeters of triangles and related results Senapati, Tanusri Functional Analysis In this article, we introduce a new type of mapping contracting perimeters of triangles in a complete metric space and present related fixed point theorem. We study the metric completeness property of the underlying space in terms of fixed point of our newly introduced mapping. In support of our result, we present several examples. |
| title | A new contraction principle on the perimeters of triangles and related results |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2601.10138 |