Approximate Solution of P-Radical Functional Equation in 2-Banach Spaces
The aim of this paper is to introduce and solve the p -radical functional equation f ( x p + y p p ) = f ( x ) + f ( y ) , p ∈ N 2 . We also state an analogue of the fixed point theorem [12, Theorem 1] in 2-Banach spaces and investigate stability for this equation in 2-Banach spaces.
Gespeichert in:
| Veröffentlicht in: | Acta mathematica scientia 2019-03, Vol.39 (2), p.551-566 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | The aim of this paper is to introduce and solve the
p
-radical functional equation
f
(
x
p
+
y
p
p
)
=
f
(
x
)
+
f
(
y
)
,
p
∈
N
2
.
We also state an analogue of the fixed point theorem [12, Theorem 1] in 2-Banach spaces and investigate stability for this equation in 2-Banach spaces. |
|---|---|
| ISSN: | 0252-9602 1572-9087 |
| DOI: | 10.1007/s10473-019-0218-2 |