On the Stability of a Cubic Functional Equation in Random Normed Spaces

Authors

  • Hassan Azadi Kenary

DOI:

https://doi.org/10.30495/jme.v0i0.62

Keywords:

Cubic functional equation, stability, fixed point.

Abstract

The concept of Hyers-Ulam-Rassias stability has been originated from a stability theorem due to Th. M. Rassias. Re- cently, the Hyers-Ulam-Rassias stability of the functional equation f(x+2y)+f(x−2y) = 2f(x)−f(2x)+4 f(x+y)+f(x−y) , has been proved in the case of Banach spaces. In this paper, we will find out the generalized Hyers-Ulam-Rassias stability problem of the above functional equation in random normed spaces.

Author Biography

Hassan Azadi Kenary

Department of Mathematics College of Sciences Yasouj University Yasouj 75914-353, Iran

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Published

2009-04-01

Issue

Vol 4 (2009-2010)

Section

Vol. 4, No. 1 (2009)

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