Ulam-Hyers stability of quadratic reciprocal functional equation in intuitionistic random normed spaces: Various methods

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DOI:

https://doi.org/10.26637/mjm502/007

Abstract

In this paper, the authors investigated the intuitionistic random stability of a quadratic reciprocal functional equation
$$
f(x+2 y)+f(2 x+y)=\frac{f(x) f(y)[5 f(x)+5 f(y)+8 \sqrt{f(x) f(y)}]}{[2 f(x)+2 f(y)+5 \sqrt{f(x)+f(y)}]^2}
$$
using direct and fixed point methods.

Keywords:

Quadratic reciprocal functional equation, generalized Ulam-Hyers stability, intuitionistic random normed space, fixed point

Mathematics Subject Classification:

39B52, 34K36, 46S50, 47S50
  • John M. Rassias Pedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, Athens 15342, Greece.
  • M. Arunkumar Department of Mathematics, Government Arts College, Tiruvannamalai, Tamil Nadu, India-606 603.
  • S. Karthikeyan Department of Mathematics, R.M.K. Engineering College, Kavarapettai, TamilNadu, India-601 206.
  • Pages: 293-304
  • Date Published: 01-04-2017
  • Vol. 5 No. 02 (2017): Malaya Journal of Matematik (MJM)

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01-04-2017

How to Cite

John M. Rassias, M. Arunkumar, and S. Karthikeyan. “Ulam-Hyers Stability of Quadratic Reciprocal Functional Equation in Intuitionistic Random Normed Spaces: Various Methods”. Malaya Journal of Matematik, vol. 5, no. 02, Apr. 2017, pp. 293-04, doi:10.26637/mjm502/007.

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Vol. 5 No. 02 (2017): Malaya Journal of Matematik (MJM)

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