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

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作者
Choonkil Park
Cihangir Alaca
机构
[1] Hanyang University,Department of Mathematics, Research Institute for Natural Sciences
[2] Celal Bayar University,Department of Mathematics, Faculty of Science and Arts
关键词
-2-norm; 2-fuzzy 2-normed linear spaces; 2-isometry; Mazur-Ulam theorem;
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摘要
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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