Vol. 22(2021) No. 1

 

 

  A note on best proximity point for S-cyclic mappings
 
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Fixed Point Theory, Volume 22, No. 1, 2021, 75-82, February 1st, 2021

DOI: 10.24193/fpt-ro.2021.1.05

Authors: Abdelhafid Bassou, Taoufik Sabar and Aamri Mohamed

Abstract: In this note, we introduce the new class of S-cyclic mappings and prove some best proximity point thereof. Since S-cyclic mappings generalize the ordinary cyclic mappings, our results extend and improve some best proximity results for cyclic mappings.

Key Words and Phrases: S-cyclic mapping, best proximity point.

2010 Mathematics Subject Classification: 47H09, 47H10, 54H25.

Published on-line: February 1st, 2021.

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