Stability of 2-variable additive-quadratic-cubic-quartic functional equation using fixed point method

M. Arunkumar; S. Karthikeyan; S. Hemalatha

doi:10.26637/mjm502/004

Abstract

In this paper, the authors proved the generalized Ulam-Hyers stability of 2-variable Additive-QuadraticCubic-Quartic functional equation
$$
\begin{aligned}
&f(x+2 y, u+2 v)+f(x-2 y, u-2 v)\\= & 4 f(x+y, u+v)-4 f(x-y, u-v)-6 f(x, u)+f(2 y, 2 v) \\
& +f(-2 y,-2 v)-4 f(y, v)-4 f(-y,-v)
\end{aligned}
$$
using fixed point method.

Keywords:

Additive-quadratic-cubic-quartic functional equations, generalized Ulam-Hyers stability, Banach space, fixed point

Mathematics Subject Classification:

39B52, 32B72, 32B82

Authors Imprint References Funding Related Articles Downloads

M. Arunkumar Department of Mathematics, Government Arts College, Tiruvannamalai, Tamil Nadu, India - 606 603.
S. Karthikeyan Department of Mathematics, R.M.K. Engineering College, Kavarapettai, Tamil Nadu, India - 601 206.
S. Hemalatha Department of Mathematics, Annai Veilankanni’s College of Arts and Science, Chennai, Tamil Nadu, India - 600 015.

Pages: 241-264
Date Published: 01-04-2017
Vol. 5 No. 02 (2017): Malaya Journal of Matematik (MJM)

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