This paper mainly studies the farthest point problem in asymmetric normed space.Firstly,the concepts of the farthest point and the farthest point mapping were introduced in the asymmetric normed space,and the ba-sic properties of the farthest point set and the farthest point mapping were investigated.Secondly,the maximum distance formula from point to non-empty bounded set was derived by means of the dual space theory of asym-metric normed space.Finally,by using the quasi-supported hyperplane,the farthest point from a point to a non-empty bounded set was characterized.
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