## Abstract and Applied Analysis

### Fuzzy Stability of Jensen-Type Quadratic Functional Equations

#### Abstract

We prove the generalized Hyers-Ulam stability of the following quadratic functional equations $2f((x+y)/2)+2f((x-y)/2)=f(x)+f(y)$ and $f(ax+ay)+(ax-ay)=2{a}^{2}f(x)+2{a}^{2}f(y)$ in fuzzy Banach spaces for a nonzero real number $a$ with $a{\,\neq\,}\pm 1/2$.

#### Article information

Source
Abstr. Appl. Anal., Volume 2009 (2009), Article ID 535678, 17 pages.

Dates
First available in Project Euclid: 16 March 2010

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1268745564

Digital Object Identifier
doi:10.1155/2009/535678

Mathematical Reviews number (MathSciNet)
MR2516006

Zentralblatt MATH identifier
1167.39015

#### Citation

Jang, Sun-Young; Lee, Jung Rye; Park, Choonkil; Shin, Dong Yun. Fuzzy Stability of Jensen-Type Quadratic Functional Equations. Abstr. Appl. Anal. 2009 (2009), Article ID 535678, 17 pages. doi:10.1155/2009/535678. https://projecteuclid.org/euclid.aaa/1268745564

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