Report
A remark on the paper 'A note on the paper Best proximity point results for $p$-proximal contractions'
| العنوان: | A remark on the paper 'A note on the paper Best proximity point results for $p$-proximal contractions' |
|---|---|
| المؤلفون: | Som, Sumit |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - General Topology |
| الوصف: | Recently, In the year 2020, Altun et al. \cite{AL} introduced the notion of $p$-proximal contractions and discussed about best proximity point results for this class of mappings. Then in the year 2021, Gabeleh and Markin \cite{GB} showed that the best proximity point theorem proved by Altun et al. in \cite{AL} follows from the fixed point theory. In this short note, we show that if the $p$-proximal contraction constant $k<\frac{1}{3}$ then the existence of best proximity point for $p$-proximal contractions follows from the celebrated Banach contraction principle. Comment: 3 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2107.01685 |
| رقم الانضمام: | edsarx.2107.01685 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |