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arXiv · 2510.10992

A note on remotal and uniquely remotal sets in normed linear spaces

Uddalak Mukherjee·Sumit Som
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Abstract

Remotal and uniquely remotal sets play an important role in the area of farthest point problem as well as nearest point problem in a Banach space $X.$ In this study, we find some sufficient conditions for remotality and uniquely remotality of a bounded subset of a Banach space $X$ through $\alpha\beta$-statistical convergence.

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Uddalak Mukherjee, Sumit Som. 2025-10-13. A note on remotal and uniquely remotal sets in normed linear spaces. https://arxiv.org/abs/2510.10992

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