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A remark on the paper "A note on the paper Best proximity point results for p-proximal contractions".

Authors :
Som, S.
Source :
Acta Mathematica Hungarica. Feb2022, Vol. 166 Issue 1, p103-106. 4p.
Publication Year :
2022

Abstract

Recently, Altun et al. [1] introduced the notion of p-proximal contractions and discussed about best proximity point results for this class of mappings. Then Gabeleh and Markin [4] showed that the best proximity point theorem proved by Altun et al. in [1] follows from the fixed point theory. In this short note, we show that if the p-proximal contraction constant k < 1 3 then the existence of best proximity point for p-proximal contractions follows from the celebrated Banach contraction principle. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*FIXED point theory

Details

Language :
English
ISSN :
02365294
Volume :
166
Issue :
1
Database :
Academic Search Index
Journal :
Acta Mathematica Hungarica
Publication Type :
Academic Journal
Accession number :
155433701
Full Text :
https://doi.org/10.1007/s10474-022-01212-7