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Demonstrates fixed point theorems in bipolar R-metric spaces, suggesting solutions for equations and boundary problems.
In this paper, we introduce the concept of bipolar R-metric space. We prove some fixed point theorems with the covariant and contravariant mapping. We provide some examples to strength our obtained results. Also, we provide an application to integral equation and boundary value problem.
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Janardhanan et al. (2025) studied this question.
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