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

Author

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  • Yohannes Gebru
  • Yitages Negede
  • Alberto Fiorenza

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.

Suggested Citation

  • Yohannes Gebru & Yitages Negede & Alberto Fiorenza, 2022. "Common Best Proximity Point Theorems for Generalized Proximal Weakly Contractive Mappings in b-Metric Space," Abstract and Applied Analysis, Hindawi, vol. 2022, pages 1-11, August.
    • Handle: RePEc:hin:jnlaaa:5982401
    DOI: 10.1155/2022/5982401
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