Abstract
UDC 517.5
We prove the generalized stability of the functional equations
‖
f
(
x
+
y
)
‖
=
‖
f
(
x
)
+
f
(
y
)
‖
and
‖
f
(
x
-
y
)
‖
=
‖
f
(
x
)
-
f
(
y
)
‖
in
p
-uniformly convex spaces with
p
≥
1.
Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Subject
General Earth and Planetary Sciences,General Engineering,General Environmental Science