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Inequalities for distances between points and distance preserving mappings
- Authors
- Jung, SM
- Issue Date
- Aug-2005
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- inequality; parallelogram law; short diagonals lemma; Aleksandrov problem; Aleksandrov-Rassias problem
- Citation
- NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.62, no.4, pp.675 - 681
- Journal Title
- NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
- Volume
- 62
- Number
- 4
- Start Page
- 675
- End Page
- 681
- ISSN
- 0362-546X
- Abstract
- In this paper, we generalize the short diagonals lemma by proving a new inequality for distances between six points. Moreover, we apply this inequality to a partial solution to the Aleksandrov-Rassias problem. (c) 2005 Elsevier Ltd. All rights reserved.
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