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

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Park C., ALACA C.

Journal of Inequalities and Applications, vol.2013, 2013 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 2013
• Publication Date: 2013
• Doi Number: 10.1186/1029-242x-2013-78
• Journal Name: Journal of Inequalities and Applications
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Keywords: alpha-2-norm, 2-fuzzy 2-normed linear spaces, 2-isometry, Mazur-Ulam theorem
• Open Archive Collection: AVESIS Open Access Collection
• Manisa Celal Bayar University Affiliated: Yes

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. © 2013 Park and Alaca; licensee Springer.