BibTex RIS Kaynak Göster

STABILITY AND SUPER STABILITY OF FUZZY APPROXIMATELY *-HOMOMORPHISMS

Yıl 2015, Cilt: 64 Sayı: 1, 61 - 73, 01.02.2015
https://doi.org/10.1501/Commua1_0000000727

Öz

In this paper we introduce the concept of fuzzy Banach *-algebra.Then we study the stability and super stability of approximately *-homomorphismsin the fuzzy sense

Kaynakça

  • Z. Gajda, On stability of additive mappings, Intermat. J. Math. Sci., 14 (1991), 431–434.
  • P. Gavruta, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl., 184 (1994), 431–436.
  • D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci., U.S.A. (1941), 222–224.
  • B. E. Johnson, Approximately multiplicative maps between Banach algebras, J. London Math. Soc. 2 37 (1988), 294–316.
  • R. V. Kadison and G. Pedersen, Means and convex combinations of unitary operators, Math. Scand. 57 (1985), 249–266.
  • R. V. Kadison and J. R. Ringrose, Fundamentals of the theory of operator algebras, Vol. I: Elementary theory, Pure and Applied Mathematics, Vol. 100, Academic Press, New York, (1983).
  • A. K. Katsaras, Fuzzy topological vector spaces II, Fuzzy Sets and Systems, 12 (1984), 143–
  • A. K. Mirmostafaee and M. S. Moslehian, Fuzzy versions of Hyers-Ulam-Rassias theorem, Fuzzy Sets and Systems, 159 (6) (2008), 720–729 .
  • C. Park, On the stability of the linear mapping in Banach modules, J. Math. Anal. Appl. (2002), 711–720.
  • Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72 (1978), 297–300.
  • Th. M. Rassias and P. Šemrl, On the behavior of mappings which do not satisfy Hyers-Ulam stability, Proc. Amer. Math. Soc., 173 (1993), 325–338.
  • S. M. Ulam, Problems in modern mathematics, Chap. VI, Science eds., Wiley, New York, L. A. Zadeh, Fuzzy sets, Inform. and Control, 8 (1965), 338–353.
  • Address : Department of Mathematics, Facualty of Mathematical Sciences, University of Mo- haghegh Ardabili, 56199-11367, Ardabil, Iran.
  • E-mail : nasrineghbali@gmail.com,eghbali@uma.ac.ir Ba¸ slık: Bulanık yakla¸sık *-homomor…zmin kararlılı¼gı ve süper kararlılı¼gı Anahtar Kelimeler: Bulanık normlu uzay, yakla¸sık *-homomor…zm, kararlılık
Yıl 2015, Cilt: 64 Sayı: 1, 61 - 73, 01.02.2015
https://doi.org/10.1501/Commua1_0000000727

Öz

Kaynakça

  • Z. Gajda, On stability of additive mappings, Intermat. J. Math. Sci., 14 (1991), 431–434.
  • P. Gavruta, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl., 184 (1994), 431–436.
  • D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci., U.S.A. (1941), 222–224.
  • B. E. Johnson, Approximately multiplicative maps between Banach algebras, J. London Math. Soc. 2 37 (1988), 294–316.
  • R. V. Kadison and G. Pedersen, Means and convex combinations of unitary operators, Math. Scand. 57 (1985), 249–266.
  • R. V. Kadison and J. R. Ringrose, Fundamentals of the theory of operator algebras, Vol. I: Elementary theory, Pure and Applied Mathematics, Vol. 100, Academic Press, New York, (1983).
  • A. K. Katsaras, Fuzzy topological vector spaces II, Fuzzy Sets and Systems, 12 (1984), 143–
  • A. K. Mirmostafaee and M. S. Moslehian, Fuzzy versions of Hyers-Ulam-Rassias theorem, Fuzzy Sets and Systems, 159 (6) (2008), 720–729 .
  • C. Park, On the stability of the linear mapping in Banach modules, J. Math. Anal. Appl. (2002), 711–720.
  • Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72 (1978), 297–300.
  • Th. M. Rassias and P. Šemrl, On the behavior of mappings which do not satisfy Hyers-Ulam stability, Proc. Amer. Math. Soc., 173 (1993), 325–338.
  • S. M. Ulam, Problems in modern mathematics, Chap. VI, Science eds., Wiley, New York, L. A. Zadeh, Fuzzy sets, Inform. and Control, 8 (1965), 338–353.
  • Address : Department of Mathematics, Facualty of Mathematical Sciences, University of Mo- haghegh Ardabili, 56199-11367, Ardabil, Iran.
  • E-mail : nasrineghbali@gmail.com,eghbali@uma.ac.ir Ba¸ slık: Bulanık yakla¸sık *-homomor…zmin kararlılı¼gı ve süper kararlılı¼gı Anahtar Kelimeler: Bulanık normlu uzay, yakla¸sık *-homomor…zm, kararlılık
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

N. Eghbalı Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2015
Yayımlandığı Sayı Yıl 2015 Cilt: 64 Sayı: 1

Kaynak Göster

APA Eghbalı, N. (2015). STABILITY AND SUPER STABILITY OF FUZZY APPROXIMATELY *-HOMOMORPHISMS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 64(1), 61-73. https://doi.org/10.1501/Commua1_0000000727
AMA Eghbalı N. STABILITY AND SUPER STABILITY OF FUZZY APPROXIMATELY *-HOMOMORPHISMS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Şubat 2015;64(1):61-73. doi:10.1501/Commua1_0000000727
Chicago Eghbalı, N. “STABILITY AND SUPER STABILITY OF FUZZY APPROXIMATELY *-HOMOMORPHISMS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64, sy. 1 (Şubat 2015): 61-73. https://doi.org/10.1501/Commua1_0000000727.
EndNote Eghbalı N (01 Şubat 2015) STABILITY AND SUPER STABILITY OF FUZZY APPROXIMATELY *-HOMOMORPHISMS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64 1 61–73.
IEEE N. Eghbalı, “STABILITY AND SUPER STABILITY OF FUZZY APPROXIMATELY *-HOMOMORPHISMS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 64, sy. 1, ss. 61–73, 2015, doi: 10.1501/Commua1_0000000727.
ISNAD Eghbalı, N. “STABILITY AND SUPER STABILITY OF FUZZY APPROXIMATELY *-HOMOMORPHISMS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64/1 (Şubat 2015), 61-73. https://doi.org/10.1501/Commua1_0000000727.
JAMA Eghbalı N. STABILITY AND SUPER STABILITY OF FUZZY APPROXIMATELY *-HOMOMORPHISMS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2015;64:61–73.
MLA Eghbalı, N. “STABILITY AND SUPER STABILITY OF FUZZY APPROXIMATELY *-HOMOMORPHISMS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 64, sy. 1, 2015, ss. 61-73, doi:10.1501/Commua1_0000000727.
Vancouver Eghbalı N. STABILITY AND SUPER STABILITY OF FUZZY APPROXIMATELY *-HOMOMORPHISMS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2015;64(1):61-73.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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