Stabilities and instabilities of additive-quadratic 3D functional equations in paranormed spaces

Volume 28, Issue 1, pp 37--51 http://dx.doi.org/10.22436/jmcs.028.01.04
Publication Date: May 02, 2022 Submission Date: February 08, 2022 Revision Date: February 18, 2022 Accteptance Date: March 10, 2022

Authors

S. Karthikeyan - Department of Mathematics, R.M.K. Engineering College, Kavaraipettai-601 206, Tamil Nadu, India. T. R. K. Kumar - Department of Mathematics, R.M.K. Engineering College, Kavaraipettai-601 206, Tamil Nadu, India. S. Vijayakumar - Department of Mathematics, R.M.K. Engineering College, Kavaraipettai-601 206, Tamil Nadu, India. P. Palani - Department of Mathematics, Sri Vidya Mandir Arts and Science College, Uthangarai- 636902, Tamil Nadu, India.


Abstract

This paper deals with the Ulam-Hyers stability of the following additive-quadratic mixed type functional equation: \[ f\left(\frac{u+v}{2}-w\right)+f\left(\frac{v+w}{2}-u\right)+f\left(\frac{w+u}{2}-v\right) =\frac{7}{8}\left(f(u-v)+f(v-w)+f(w-u)\right)-\frac{1}{8}\left(f(v-u)+f(w-v)+f(u-w)\right) \] in paranormed spaces by direct method.


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
ISRP Style

S. Karthikeyan, T. R. K. Kumar, S. Vijayakumar, P. Palani, Stabilities and instabilities of additive-quadratic 3D functional equations in paranormed spaces, Journal of Mathematics and Computer Science, 28 (2023), no. 1, 37--51

AMA Style

Karthikeyan S., Kumar T. R. K., Vijayakumar S., Palani P., Stabilities and instabilities of additive-quadratic 3D functional equations in paranormed spaces. J Math Comput SCI-JM. (2023); 28(1):37--51

Chicago/Turabian Style

Karthikeyan, S., Kumar, T. R. K., Vijayakumar, S., Palani, P.. "Stabilities and instabilities of additive-quadratic 3D functional equations in paranormed spaces." Journal of Mathematics and Computer Science, 28, no. 1 (2023): 37--51


Keywords


MSC


References