Mathematical Analysis and its Contemporary Applications

Stability of quartic functional equation in paranormed spaces

https://doi.org/10.30495/maca.2021.1924046.1001
Volume 3, Issue 1
Winter 2021
Pages 48-58
Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Karthikeyan Subramani 1
Choonkil Park 2
John Michael Rassias 3

1 Department of Mathematics R.M.K. Engineering College Kavarapettai

2 Department of Mathematics, Hanyang University, Republic of Korea

3 Pedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4, Agamemnonos Str. Aghia Paraskevi, Athens 15342, Greece.

Abstract
In this paper, we prove the Ulam-Hyers stability of the following quartic functional equation in paranormed spaces using both direct and fixed point methods.

Keywords

paranormed space
quartic functional equation
Ulam-Hyers stability
fixed point method
  • Receive Date 20 December 2020
  • Revise Date 11 March 2021
  • Accept Date 14 March 2021

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