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arXiv · 2508.05566

On Fixed Point Theorems in Bipolar Metric Spaces Involving Polynomial-Type Contractions

Gopinath Janardhanan·Gunaseelan Mani·Nancy Delaila John Kennedy·Yaé Ulrich Gaba
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Abstract

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.

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Gopinath Janardhanan, Gunaseelan Mani, Nancy Delaila John Kennedy, Yaé Ulrich Gaba. 2025-08-07. On Fixed Point Theorems in Bipolar Metric Spaces Involving Polynomial-Type Contractions. https://arxiv.org/abs/2508.05566

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