On the fuzzy stability problem of generalized cubic mappings

Article type: Research Article

Authors: Koh, Heejeong | Kang, Dongseung^*

Affiliations: Mathematics Education, Dankook University, Jukjeon, Suji, Yongin, Gyeonggi, Korea

Correspondence: [*] Correspondence author. Dongseung Kang, Mathematics Education, Dankook University, 152, Jukjeon, Suji, Yongin, Gyeonggi 16890, Korea. Tel.: +82 31 8005 3830; Fax: +82 31 8021 7230; E-mail: dskang@dankook.ac.kr.

Abstract: We introduce a fuzzy anti-β-norm and generalized cubic mapping and then investigate the Hyers-Ulam-Rassias stability in quasi β-Banach space and the fuzzy stability by using a fixed point in fuzzy anti-β Banach space for the generalized cubic function.

Keywords: Hyers-Ulam-Rassias stability, cubic mapping, quasi-β-mormed space, fixed point, fuzzy anti-normed space, fuzzy anti-β-normed space

DOI: 10.3233/JIFS-16460

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2477-2484, 2017