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ON THE ALEKSANDROV–RASSIAS PROBLEM OF DISTANCE PRESERVING MAPPINGS
Published online by Cambridge University Press: 17 March 2015
Abstract
In this paper, we introduce the concept of a semi-parallelogram and obtain some results for the Aleksandrov–Rassias problem using this concept. In particular, we resolve an important case of this problem for mappings preserving two distances with a nonintegral ratio.
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- Research Article
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- © 2015 Australian Mathematical Publishing Association Inc.