Mazur-Ulam theorem under weaker conditions in the framework of 2-fuzzy 2-normed linear spaces
Journal of Inequalities and Applications, cilt.2013, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2013
- Basım Tarihi: 2013
- Doi Numarası: 10.1186/1029-242x-2013-78
- Dergi Adı: Journal of Inequalities and Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: alpha-2-norm, 2-fuzzy 2-normed linear spaces, 2-isometry, Mazur-Ulam theorem
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Manisa Celal Bayar Üniversitesi Adresli: Evet
Özet
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.