A fixed point approach to approximate quadratic functional equation in non-Archimedean L*-fuzzy normed spaces

Article type: Research Article

Authors: Shokri, Javad^a | Park, Choonkil^{b; *}

Affiliations: [a] Department of Mathematics, Urmia University, Urmia, Iran | [b] Research Institute for Natural Sciences, Hanyang University, Seoul, Korea

Correspondence: [*] Corresponding author. C. Park, Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea. Tel.: +82-2-2220-0892; Fax: +82-2-2281-0019; E-mail: baak@hanyang.ac.kr.

Abstract:  We establish 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 non-Archimedean L* -fuzzy normed spaces.

Keywords: ℒ*-fuzzy metric and normed space, Hyers-Ulam stability, quadratic functional equation, non-Archimedean ℒ*-fuzzy normed space

DOI: 10.3233/JIFS-190802

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 4265-4272, 2020