On a General Conditional Cauchy Functional Equation
Let $(G,+)$ be an abelian group and $Y$ a linear space over the field $\Bbb{F}\in\{\Bbb{R}, \Bbb{C}\}$. In this paper, we investigate the conditional Cauchy functional equation \[f(x+y)\neq af(x)+bf(y)\quad\Rightarrow \quad f(x+y)=f(x)+f(y),\quad x,y\in G,\] for functions $f:G\to Y$, where $a,b\in...
Saved in:
Main Authors: | Elham Mohammadi, Abbas Najati, Yavar Khedmati Yengejeh |
---|---|
Format: | Article |
Language: | English |
Published: |
University of Maragheh
2024-03-01
|
Series: | Sahand Communications in Mathematical Analysis |
Subjects: | |
Online Access: | https://scma.maragheh.ac.ir/article_710730_1097db7f4cdaf2bb076df721ce97d691.pdf |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
On the stability of generalized gamma functional equation
by: Gwang Hui Kim
Published: (2000-01-01) -
Variants of the functional equation of Cauchy
by: Juozas Mačys
Published: (2004-12-01) -
On a modified Hyers-Ulam stability of homogeneous equation
by: Soon-Mo Jung
Published: (1998-01-01) -
Stability of generalized additive Cauchy equations
by: Soon-Mo Jung, et al.
Published: (2000-01-01) -
Integrals of operator-valued functions
by: Raimond A. Struble
Published: (1988-01-01)