The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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SOME RESULTS ON BEST PROXIMITY POINT FOR CYCLIC B-CONTRACTION AND S-WEAKLY CYCLIC B-CONTRACTION MAPPINGS

  • V. Anbukkarasi (Department of Mathematics, Bharathidasan University) ;
  • R. Theivaraman (Department of Mathematics, Bharathidasan University) ;
  • M. Marudai (Department of Mathematics, Bharathidasan University) ;
  • P. S. Srinivasan (Department of Mathematics, Bharathidasan University)
  • Received : 2023.05.19
  • Accepted : 2023.08.22
  • Published : 2023.11.30
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Abstract

The purpose of this paper is establish the existence of proximity point for the cyclic B-contraction mapping on metric spaces and uniformly convex Banach spaces. Also, we prove the common proximity point for the S-weakly cyclic B-contraction mapping. In addition, a few examples are provided to demonstrate our findings.

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Acknowledgement

All the authors are highly grateful to the editor and refree(s) for their valuable comments and suggestions for improving the paper.

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