Abstract and Applied Analysis

Approximate Euler-Lagrange Quadratic Mappings in Fuzzy Banach Spaces

Abstract

We consider general solution and the generalized Hyers-Ulam stability of an Euler-Lagrange quadratic functional equation $f(rx+sy)+rsf(x-y)=(r+s)[rf(x)+sf(y)]$ in fuzzy Banach spaces, where $r$, $s$ are nonzero rational numbers with ${r}^{2}+rs+{s}^{2}-1\ne 0$, $r+s\ne 0$.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 869274, 9 pages.

Dates
First available in Project Euclid: 26 February 2014

https://projecteuclid.org/euclid.aaa/1393448675

Digital Object Identifier
doi:10.1155/2013/869274

Mathematical Reviews number (MathSciNet)
MR3102725

Zentralblatt MATH identifier
07095449

Citation

Kim, Hark-Mahn; Lee, Juri. Approximate Euler-Lagrange Quadratic Mappings in Fuzzy Banach Spaces. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 869274, 9 pages. doi:10.1155/2013/869274. https://projecteuclid.org/euclid.aaa/1393448675

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