Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
qr-code QR
Code

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2011; 26(2): 237-251

Printed June 1, 2011

https://doi.org/10.4134/CKMS.2011.26.2.237

Copyright © The Korean Mathematical Society.

Stability of a quadratic functional equation in intuitionistic fuzzy normed spaces

Jae-Hyeong Bae and Won-Gil Park

Kyung Hee University, Mokwon University

Abstract

Go to

In this paper, we determine some stability results concerning the $2$-dimensional vector variable quadratic functional equation $f(x+y,z+w)+f(x-y,z-w)=2f(x,z)+2f(y,w)$ in intuitionistic fuzzy normed spaces (IFNS). We define the intuitionistic fuzzy continuity of the $2$-dimensional vector variable quadratic mappings and prove that the existence of a solution for any approximately $2$-dimensional vector variable quadratic mapping implies the completeness of IFNS.

Keywords: intuitionistic fuzzy normed space, stability

MSC numbers: Primary 94D05, 39B82

Article Tools

Stats or Metrics

Share this article on :

Related articles in CKMS

more +