Stability of a 2 - Variable AC - Mixed Type Functional Equation in Paranormed Spaces: Direct and Fixed Point Methods


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Authors

  • M. Arunkumar Department of Mathematics, Government Arts College, Tiruvannamalai, TamilNadu, India
  • John M. Rassias Pedagogical Department E.E, Section of Mathematics and Informatics, National and Capodistrian University of Athens, Greece
  • S. Murthy Department of Mathematics, Government Arts College for Men, Krishnagiri, Tamil Nadu, India
  • M. Arulselvan SRGDS Matriculation Hr. Sec. School, Tiruvannamalai, TamilNadu, India

Keywords:

Additive functional equations, cubic functional equation, Mixed type AC functional equation, Ulam - Hyers stability, Paranormed space

Abstract

In this paper, authors established the generalized Ulam - Hyers stability of a 2 - variable AC - mixed type functional equation \begin{align*} f(2x+y, 2z+w) &- f(2x-y, 2z-w)\\ &= 4[f(x+y, z+w) - f(x-y, z-w)]- 6f(y, w) \end{align*} in paranormed spaces using direct and fixed point methods.

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Published

01-12-2016

How to Cite

M. Arunkumar, John M. Rassias, S. Murthy, & M. Arulselvan. (2016). Stability of a 2 - Variable AC - Mixed Type Functional Equation in Paranormed Spaces: Direct and Fixed Point Methods. International Journal of Mathematics And Its Applications, 4(4 (Special Issue), 43–58. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1419

Issue

Vol. 4 No. 4 (Special Issue) (2016)

Section

Research Article

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