2021/04/14 by Karim Chaira, Chaira, Karim, Samih Lazaiz +1
Mathematics · #Fixed Point Theorems Analysis
paper · pdf · doi:10.48550/arxiv.2104.06748
In the present paper, we study the existence of best proximity pair in ultrametric spaces. We show, under suitable assumptions, that the proximinal pair (A,B) has a best proximity pair. As a consequence we generalize a well known best approximation result and we derive some fixed point theorems. Moreover, we provide examples to illustrate the obtained results.