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Common Best Proximity Point Theorems for Generalized Proximal Weakly Contractive Mappings in b‐Metric Space

Yohannes Gebru and Yitages Negede

Abstract and Applied Analysis, 2022, vol. 2022, issue 1

Abstract: In this paper, common best proximity point theorems for weakly contractive mapping in b‐metric spaces in the cases of nonself‐mappings are proved; we introduced the notion of generalized proximal weakly contractive mappings in b‐metric spaces and proved the existence and uniqueness of common best proximity point for these mappings in complete b‐metric spaces. We also included some supporting examples that our finding is more generalized with the references we used.

Date: 2022
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https://doi.org/10.1155/2022/5982401

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