Fuzzy stability in the sense of Hyers-Ulam-Rassias of a functional equation on quadratic forms

Farahani M. R., Valdes J. E. N., Cancan M., Jafari S., Park C.

Journal of Interdisciplinary Mathematics, cilt.26, sa.6, ss.1355-1365, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 6
  • Basım Tarihi: 2023
  • Doi Numarası: 10.47974/jim-1633
  • Dergi Adı: Journal of Interdisciplinary Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1355-1365
  • Anahtar Kelimeler: Fixed point, Fuzzy normed space, Fuzzy stability, Quadratic functional equation, t-norm
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

We obtain a general solution of the 2-variable quadratic functional equation (formula present) and discuss the stability of the above functional equation, while the quadratic form z(a, b) = aa2 + bab + gc2 is a solution of our functional equation.