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Mazur-Ulam theorem under weaker conditions in the framework of 2-fuzzy 2-normed linear spacesopen access

Authors
Park, ChoonkilAlaca, Cihangir
Issue Date
Feb-2013
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
Keywords
alpha-2-norm; 2-fuzzy 2-normed linear spaces; 2-isometry; Mazur-Ulam theorem
Citation
JOURNAL OF INEQUALITIES AND APPLICATIONS, pp.1 - 9
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF INEQUALITIES AND APPLICATIONS
Start Page
1
End Page
9
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/163465
DOI
10.1186/1029-242X-2013-78
ISSN
1025-5834
Abstract
The purpose of this paper is to prove that every 2-isometry without any other conditions from a fuzzy 2-normed linear space to another fuzzy 2-normed linear space is affine, and to give a new result of the Mazur-Ulam theorem for 2-isometry in the framework of 2-fuzzy 2-normed linear spaces.
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