Fuzzy Stability of Euler-Lagrange Type Cubic Functional Equation: A Fixed Point Approach

K. Ravi, R. Murali, E. Thandapani

Abstract


In this paper, the authors investigate the generalized Hyers-Ulam stability of Euler-Lagrange type Cubic functional equation \begin{align} 2af(x+ay)+2f(ax-y) =(a^3+a)[f(x+y)+f(x-y)]+2(a^4-1)f(y)\end{align} in fuzzy normed space by direct method and fixed point method, where $a$ is fixed integer with $a\neq 0$, $\pm 1$.

Keywords


Fuzzy normed space; Cubic functional equation; Generalized Hyers-Ulam stability

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DOI: http://dx.doi.org/10.26713%2Fjims.v4i1.68

eISSN 0975-5748; pISSN 0974-875X