2021/09/13 by K. Chaira, Chaira, K., O. Dovgoshey +3
Mathematics · #41A50 #FOS: Mathematics #Fixed Point Theorems Analysis #General Topology (math.GN) #Primary: 37C25. Secondary: 54E50
paper · pdf · doi:10.48550/arxiv.2109.05728
openalex publication_date 2021/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the present paper, we study the existence of best proximity pairs 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.