## Involve: A Journal of Mathematics

• Involve
• Volume 6, Number 4 (2013), 505-510.

### A Pexider difference associated to a Pexider quartic functional equation in topological vector spaces

#### Abstract

Let $(G,+)$ be an Abelian group and $X$ be a sequentially complete Hausdorff topological vector space over the field $ℚ$ of rational numbers. We deal with a Pexider difference

$2 f ( 2 x + y ) + 2 f ( 2 x − y ) − 2 g ( x + y ) − 2 g ( x − y ) − 1 2 g ( x ) + 3 g ( y ) ,$

where $f$ and $g$ are mappings defined on $G$ and taking values in $X$. We investigate the Hyers–Ulam stability of the Pexiderized quartic functional equation

$2 f ( 2 x + y ) + 2 f ( 2 x − y ) = 2 g ( x + y ) + 2 g ( x − y ) + 1 2 g ( x ) − 3 g ( y )$

in topological vector spaces.

#### Article information

Source
Involve, Volume 6, Number 4 (2013), 505-510.

Dates
Received: 23 January 2013
Accepted: 28 January 2013
First available in Project Euclid: 20 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.involve/1513733616

Digital Object Identifier
doi:10.2140/involve.2013.6.505

Mathematical Reviews number (MathSciNet)
MR3115983

Zentralblatt MATH identifier
1280.39018

#### Citation

Ostadbashi, Saeid; Najati, Abbas; Solaimaninia, Mahsa; Rassias, Themistocles M. A Pexider difference associated to a Pexider quartic functional equation in topological vector spaces. Involve 6 (2013), no. 4, 505--510. doi:10.2140/involve.2013.6.505. https://projecteuclid.org/euclid.involve/1513733616

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