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Advances in Pure and Applied Mathematics

Editor-in-Chief: Trimeche, Khalifa

Editorial Board Member: Aldroubi, Akram / Anker, Jean-Philippe / Aouadi, Saloua / Bahouri, Hajer / Baklouti, Ali / Bakry, Dominique / Baraket, Sami / Ben Abdelghani, Leila / Begehr, Heinrich / Beznea, Lucian / Bezzarga, Mounir / Bonami, Aline / Demailly, Jean-Pierre / Fleckinger, Jacqueline / Gallardo, Leonard / Ismail, Mourad / Jarboui, Noomen / Jouini, Elyes / Karoui, Abderrazek / Kamoun, Lotfi / Kobayashi, Toshiyuki / Maday, Yvon / Marzougui, Habib / Mili, Maher / Mustapha, Sami / Ovsienko, Valentin / Peigné, Marc / Pouzet, Maurice / Radulescu, Vicentiu / Schwartz, Lionel / Sifi, Mohamed / Zaag, Hatem / Zarati, Said

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CiteScore 2016: 0.36

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1869-6090
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Solution and fuzzy stability of a mixed type functional equation

P. Narasimman
  • Corresponding author
  • Department of Mathematics, Kingston Engineering College, Chittoor Main Road, Vellore-632059, Tamil Nadu, India
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Published Online: 2015-08-16 | DOI: https://doi.org/10.1515/apam-2014-0031

Abstract

In this paper, we obtain the general solution and we study the generalized Hyers–Ulam stability of the mixed type additive-quadratic functional equation f(-x) + f(2x - y) + f(2y) + f(x + y) - f(-x + y) - f(x - y) - f(-x - y) = 3f(x) + 3f(y) in a fuzzy normed space.

Keywords: Fuzzy normed space; additive functional equation; quadratic functional equation; fuzzy generalized Hyers–Ulam stability

MSC: 39B55; 39B52; 39B82

About the article

Received: 2014-07-02

Revised: 2015-06-26

Accepted: 2015-06-30

Published Online: 2015-08-16

Published in Print: 2016-01-01


Citation Information: Advances in Pure and Applied Mathematics, ISSN (Online) 1869-6090, ISSN (Print) 1867-1152, DOI: https://doi.org/10.1515/apam-2014-0031.

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