Intuitionistic fuzzy stability of a Jensen functional equation via fixed point technique

MOHIUDDINE S. A., Cancan M., Sevli H.

MATHEMATICAL AND COMPUTER MODELLING, cilt.54, ss.2403-2409, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.mcm.2011.05.049
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2403-2409
  • Anahtar Kelimeler: t-norm, t-conorm, Jensen functional equation, Cauchy functional equation, Intuitionistic fuzzy normed space, Fixed point, ULAM-RASSIAS STABILITY, THEOREM, SPACES
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The object of this paper is to determine Hyers-Ulam-Rassias stability concerning the Jensen functional equation in intuitionistic fuzzy normed space (IFNS) by using the fixed point method. Further, we establish stability of the Cauchy functional equation in IFNS. (C) 2011 Elsevier Ltd. All rights reserved.