On generalized taxicab metric in three dimensional space

Authors : Harun Barış ÇOLAKOĞLU

Pages : 1359-1369

Doi:10.31801/cfsuasmas.530441

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Publication Date : 2019-08-01

Article Type : Research Paper

Abstract :In this paper, we define the generalized taxicab distance function in three dimensional space, which includes the taxicab distance function as a special case, and we show that three dimensional generalized taxicab distance function determines a metric. Then we give some properties of three dimensional generalized taxicab metric, and determine Euclidean isometries of the space preserving the generalized taxicab metric.
Keywords : Metric, taxicab distance, generalized taxicab distance, isometry