A new perspective to the mazur-ulam problem in 2-fuzzy 2-normed linear spaces

ALACA C.

Iranian Journal of Fuzzy Systems, cilt.7, sa.2, ss.109-119, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 2
  • Basım Tarihi: 2010
  • Dergi Adı: Iranian Journal of Fuzzy Systems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.109-119
  • Anahtar Kelimeler: 2-Fuzzy 2-Normed linear spaces, 2-Isometry, 2-Lipschitz mapping, A-2-Norm
  • Manisa Celal Bayar Üniversitesi Adresli: Hayır

Özet

In this paper, we introduce the concepts of 2-isometry, collinearity, 2-Lipschitz mapping in 2-fuzzy 2-normed linear spaces. Also, we give a new generalization of the Mazur-Ulam theorem when X is a 2-fuzzy 2-normed linear space or 3(X) is a fuzzy 2-normed linear space, that is, the Mazur-Ulam theorem holds, when the 2-isometry mapped to a 2-fuzzy 2-normed linear space is affine.