Generalized Hyers - Ulam Stability of Additive - Quadratic - Cubic - Quartic Functional Equation in Fuzzy Normed Spaces: A Direct Method


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Authors

  • M. Arunkumar Department of Mathematics, Government Arts College, Tiruvannamalai, Tamil Nadu, India
  • C. Devi Shyamala Mary Department of Mathematics, St.Joseph’s College of Arts and Science, Cuddalore, TamilNadu, India

Keywords:

Fuzzy normed space, Additive, quadratic, cubic and quartic functional equation, Generalized Hyers-Ulam-Rassias stability

Abstract

In this paper, the authors investigate the generalized Hyers-Ulam-stability of AQCQ functional equation \begin{align*} f(x+2y)+f(x-2y)&=4f(x+y)-4f(x-y)-6f(x)+f(2y)\\ &+f(-2y)-4f(y)-4f(-y) \end{align*} in fuzzy normed spaces using direct method.

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Published

01-12-2016

How to Cite

M. Arunkumar, & C. Devi Shyamala Mary. (2016). Generalized Hyers - Ulam Stability of Additive - Quadratic - Cubic - Quartic Functional Equation in Fuzzy Normed Spaces: A Direct Method. International Journal of Mathematics And Its Applications, 4(4 (Special Issue), 1–16. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1416

Issue

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

Section

Research Article

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