Year 2015,
Volume: 64 Issue: 1, 61 - 73, 01.02.2015
Abstract
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
References
- 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
Year 2015,
Volume: 64 Issue: 1, 61 - 73, 01.02.2015
Abstract
References
- 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
There are 14 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Research Articles |
| Authors | |
| Publication Date | February 1, 2015 |
| Published in Issue | Year 2015 Volume: 64 Issue: 1 |
Cite
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
