Fixed Point and Hyers-ulam-rassias Stability of a Quadratic Functional Equation in Menger Probabilistic Normed Spaces

Volume 5, Issue 1, pp 22-27 http://dx.doi.org/10.22436/jmcs.05.01.03

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Authors

Ehsan Movahednia - Behbahan Khatam Al-Anbia University of Tecnology. Sara Eshtehar - Behbahan Khatam Al-Anbia University of Tecnology.

Abstract

In this paper, using the fixed point alternative approach, we investigate the Hyers Ulam-Rassias stability of the quadratic functional equation \[f(x+y)+f(x-y)=2f(x)+2f(y)\] in Menger probabilistic normed spaces.

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Keywords

• fixed point theory
• Hyers-Ulam-Rassias stability.

MSC

•  47H10
•  46S40
•  39B82
•  39B72
•  65Q20

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