On a modified Hyers-Ulam stability of homogeneous equation
In this paper, a generalized Hyers-Ulam stability of the homogeneous equation shall be proved, i.e., if a mapping f satisfies the functional inequality ‖f(yx)−ykf(x)‖≤φ(x,y) under suitable conditions, there exists a unique mapping T satisfying T(yx)=ytT(x) and ‖T(x)−f(x)‖≤Φ(x).
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298000672 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|