A note on the paper ``Best proximity point results for p-proximal contractions

Very recently, I. Altun, M. Aslantas and H. Sahin [1] introduced the notion of p -proximal contractions and surveyed the existence of best proximity points for such class of non-self mappings in metric spaces. In this note we show that this existence result is a straightforward consequence of the sa...

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Bibliographic Details
Published inActa mathematica Hungarica Vol. 164; no. 1; pp. 326 - 329
Main Authors Gabeleh, M., Markin, J.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.06.2021
Springer Nature B.V
Subjects
Fixed points (mathematics)
Mathematics
Mathematics and Statistics
Metric space
proximal contraction
47H10
best proximity point
fixed point
54H25
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Summary:Very recently, I. Altun, M. Aslantas and H. Sahin [1] introduced the notion of p -proximal contractions and surveyed the existence of best proximity points for such class of non-self mappings in metric spaces. In this note we show that this existence result is a straightforward consequence of the same conclusion in fixed point theory.
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-021-01139-5