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Best Proximity Point for Generalized and - Geraphty Contractions

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  • Abdelhafid Bassou
  • Taoufik Sabar
  • Mohamed Aamri

Abstract

This paper introduces a new class of mappings called - Geraphty-contractions and provides sufficient conditions for the existence and uniqueness of a best proximity point for such mappings. It also presents the best proximity point result for generalized contractions as well. Our results extend and generalize some theorems in the literature.

Suggested Citation

  • Abdelhafid Bassou & Taoufik Sabar & Mohamed Aamri, 2021. "Best Proximity Point for Generalized and - Geraphty Contractions," Abstract and Applied Analysis, Hindawi, vol. 2021, pages 1-8, March.
    • Handle: RePEc:hin:jnlaaa:6659358
    DOI: 10.1155/2021/6659358
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