On Fixed Point Theorems in Bipolar Metric Spaces Involving Polynomial-Type Contractions
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909728215400448 |
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| author | Janardhanan, Gopinath Mani, Gunaseelan Kennedy, Nancy Delaila John Gaba, Yaé Ulrich |
| author_facet | Janardhanan, Gopinath Mani, Gunaseelan Kennedy, Nancy Delaila John Gaba, Yaé Ulrich |
| contents | In this paper, we investigate the existence and uniqueness of fixed points for self-mappings defined on bipolar metric spaces using a new class of contractive conditions, namely polynomial-type contractions. Our main results establish sufficient conditions under which a mapping on a complete bipolar metric space admits a UFP. Several illustrative examples are provided to demonstrate the applicability of our theorems, and we further show how our results generalize and improve upon existing fixed point theorems in both standard and generalized metric settings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_05566 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Fixed Point Theorems in Bipolar Metric Spaces Involving Polynomial-Type Contractions Janardhanan, Gopinath Mani, Gunaseelan Kennedy, Nancy Delaila John Gaba, Yaé Ulrich General Topology 46L05, 47H10, 54H25, 54C30 In this paper, we investigate the existence and uniqueness of fixed points for self-mappings defined on bipolar metric spaces using a new class of contractive conditions, namely polynomial-type contractions. Our main results establish sufficient conditions under which a mapping on a complete bipolar metric space admits a UFP. Several illustrative examples are provided to demonstrate the applicability of our theorems, and we further show how our results generalize and improve upon existing fixed point theorems in both standard and generalized metric settings. |
| title | On Fixed Point Theorems in Bipolar Metric Spaces Involving Polynomial-Type Contractions |
| topic | General Topology 46L05, 47H10, 54H25, 54C30 |
| url | https://arxiv.org/abs/2508.05566 |