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A remark on the paper "A note on the paper Best proximity point results for p-proximal contractions".
- 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 :
- *FIXED point theory
Subjects
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