Submitted:
13 January 2026
Posted:
15 January 2026
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Abstract
In 1992, Hudzik and Landes derived a breakthrough generalization of the triangle inequality for two nonzero elements in normed linear spaces, which was generalized to finitely many nonzero elements independently in 2006 by Dragomir and in 2007 by Kato, Saito and Tamura. We derive a non-Archimedean version of Hudzik-Landes-Dragomir-Kato-Saito-Tamura inequality.
Keywords:
normed linear space
; triangle inequality
; non-Archimedean linear space
; ultra-norm
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