A Fixed Point Approach to the Stability of the Functional Equation f(x+y)=F[f(x),f(y)]
By applying the fixed point method, we will prove the Hyers-Ulam-Rassias stability of the functional equation f(x+y)=F[f(x),f(y)] under some additional assumptions on the function F and spaces involved.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
|
| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/912046 |
| id |
doaj-783158cdb70446d9b3d33e19222f34c3 |
|---|---|
| record_format |
Article |
| spelling |
doaj-783158cdb70446d9b3d33e19222f34c32020-11-24T21:53:29ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122009-01-01200910.1155/2009/912046A Fixed Point Approach to the Stability of the Functional Equation f(x+y)=F[f(x),f(y)]Soon-Mo JungSeungwook MinBy applying the fixed point method, we will prove the Hyers-Ulam-Rassias stability of the functional equation f(x+y)=F[f(x),f(y)] under some additional assumptions on the function F and spaces involved. http://dx.doi.org/10.1155/2009/912046 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Soon-Mo Jung Seungwook Min |
| spellingShingle |
Soon-Mo Jung Seungwook Min A Fixed Point Approach to the Stability of the Functional Equation f(x+y)=F[f(x),f(y)] Fixed Point Theory and Applications |
| author_facet |
Soon-Mo Jung Seungwook Min |
| author_sort |
Soon-Mo Jung |
| title |
A Fixed Point Approach to the Stability of the Functional Equation f(x+y)=F[f(x),f(y)] |
| title_short |
A Fixed Point Approach to the Stability of the Functional Equation f(x+y)=F[f(x),f(y)] |
| title_full |
A Fixed Point Approach to the Stability of the Functional Equation f(x+y)=F[f(x),f(y)] |
| title_fullStr |
A Fixed Point Approach to the Stability of the Functional Equation f(x+y)=F[f(x),f(y)] |
| title_full_unstemmed |
A Fixed Point Approach to the Stability of the Functional Equation f(x+y)=F[f(x),f(y)] |
| title_sort |
fixed point approach to the stability of the functional equation f(x+y)=f[f(x),f(y)] |
| publisher |
SpringerOpen |
| series |
Fixed Point Theory and Applications |
| issn |
1687-1820 1687-1812 |
| publishDate |
2009-01-01 |
| description |
By applying the fixed point method, we will prove the Hyers-Ulam-Rassias stability of the functional equation f(x+y)=F[f(x),f(y)] under some additional assumptions on the function F and spaces involved. |
| url |
http://dx.doi.org/10.1155/2009/912046 |
| work_keys_str_mv |
AT soonmojung afixedpointapproachtothestabilityofthefunctionalequationfxyffxfy AT seungwookmin afixedpointapproachtothestabilityofthefunctionalequationfxyffxfy AT soonmojung fixedpointapproachtothestabilityofthefunctionalequationfxyffxfy AT seungwookmin fixedpointapproachtothestabilityofthefunctionalequationfxyffxfy |
| _version_ |
1716631571717423104 |