Some Generalizations of Ulam-Hyers Stability Functional Equations to Riesz Algebras
Badora (2002) proved the following stability result. Let 𝜀 and 𝛿 be nonnegative real numbers, then for every mapping 𝑓 of a ring ℛ onto a Banach algebra ℬ satisfying ||𝑓(𝑥+𝑦)−𝑓(𝑥)−𝑓(𝑦)||≤𝜀 and ||𝑓(𝑥⋅𝑦)−𝑓(𝑥)𝑓(𝑦)||≤𝛿 for all 𝑥,𝑦∈ℛ, there exists a unique ring homomorphism ℎ∶ℛ→ℬ such that ||𝑓(𝑥)−ℎ(𝑥)||≤...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/653508 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|