Best Proximity Pairs in Ultrametric Spaces
In the present paper, we study the existence of best proximity pair in ultrametric spaces. We show, under suitable assumptions, that the proximinal pair has a best proximity pair. As a consequence we generalize a well known best approximation result and we derive some fixed point theorems. Moreover,...
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| Veröffentlicht in: | P-adic numbers, ultrametric analysis, and applications ultrametric analysis, and applications, 2021-10, Vol.13 (4), p.255-265 |
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| container_title | P-adic numbers, ultrametric analysis, and applications |
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| creator | Chaira, Karim Dovgoshey, Oleksiy Lazaiz, Samih |
| description | In the present paper, we study the existence of best proximity pair in ultrametric spaces. We show, under suitable assumptions, that the proximinal pair
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. |
| doi_str_mv | 10.1134/S2070046621040014 |
| format | Article |
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| subjects | 14/34 639/766/189 639/766/530 639/766/747 Algebra Fixed points (mathematics) Mathematics Mathematics and Statistics Proximity |
| title | Best Proximity Pairs in Ultrametric Spaces |
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