Solution and Ulam - Hyers Stability of an Additive - Quadratic Functional Equation in Banach Space: Hyers Direct and Fixed Point Methods


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Authors

  • John M. Rassias Pedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, Greece
  • M. Arunkumar Department of Mathematics, Government Arts College, Tiruvannamalai, Tamil Nadu, India
  • P. Agilan Department of Mathematics, S.K.P. Engineering College, Tiruvannamalai, TamilNadu, India

Keywords:

Additive functional equations, quadratic functional equation, mixed type functional equation, generalized Ulam - Hyers stability, fixed point

Abstract

In this paper, the authors establish the general solution and generalized Ulam - Hyers stability of an additive quadratic functional equation
\begin{align*}
f(x+2y+3z)&+f(x-2y+3z)+f(x+2y-3z)+f(x-2y-3z)\\
&= 4f(x)+8[f(y)+f(-y)]+18[f(z)+f(-z)]
\end{align*}
in Banach spaces, using the Hyers direct and fixed point methods.

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Published

25-12-2015

How to Cite

John M. Rassias, M. Arunkumar, & P. Agilan. (2015). Solution and Ulam - Hyers Stability of an Additive - Quadratic Functional Equation in Banach Space: Hyers Direct and Fixed Point Methods. International Journal of Mathematics And Its Applications, 3(4 - D), 17–46. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/512

Issue

Vol. 3 No. 4 - D (2015)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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