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An inequality for distances between 2n points and the Aleksandrov-Rassias problem
Authors:Soon-Mo Jung  Ki-Suk Lee
Affiliation:a Mathematics Section, College of Science & Technology, Hong-Ik University, 339-701 Chochiwon, Republic of Korea
b Department of Mathematics Education, Korea National University of Education, 363-791 Cheongwon, Republic of Korea
Abstract:In this paper, we introduce an inequality for distances between every two points among the given 2n points and apply this inequality to a partial solution of the Aleksandrov-Rassias problem, which was first posed by Th.M. Rassias.
Keywords:Inequality   Parallelogram law   Aleksandrov-Rassias problem   Distance   Point
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