Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2018
  • Volume: 10
  • Issue: 1

Approximation of the cubic functional equation in random normed spaces: Direct and fixed point method

  • Author:
  • Nawneet Hooda, Shalini Tomar
  • Total Page Count: 16
  • Page Number: 99 to 114

*Department of mathematics, DCR University of Science & Technology, Murthal, Sonepat, Haryana, E-mail: nawneethooda@gmail.com

**Department of mathematics, Kanya Mahavidyalaya, Kharkhoda, Sonepat, Haryana, India, s_saroha30@yahoo.com

Mathematical subject classification-39B72, 47H09

Abstract

In this paper, the stability of cubic functional equation f (kx + y) − f (x + ky)=(k −1)(k +1) 2[f (x) − f (y)] − k(k −1) f (x − y) (where k is a positive integer greater than 2) using direct and fixed point method in random normed spaces has been proved.

Keywords

Hyers-Ulam-Rassias stability, cubic functional equation and random normed spaces