Intuitionistic fuzzy stability of an Euler-Lagrange type quartic functional equation
- Authors
- Ebadian, Ali; Park, Choonkil; Shin, Dong Yun
- Issue Date
- Sep-2015
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- Hyers-Ulam stability; Euler-Lagrange type quartic functional equation; intuitionistic fuzzy normed space; intuitionistic fuzzy continuity
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.19, no.3, pp.578 - 589
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 19
- Number
- 3
- Start Page
- 578
- End Page
- 589
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143149
- ISSN
- 1521-1398
- Abstract
- In this paper, we investigate the Hyers-Ulam stability of the following Euler-Lagrange type quartic functional equation f(ax + y) + f(x + ay) + 1/2a (a - 1)(2) f(x - y) = (a(2) - 1)(2)(f(x) + f(y)) + 1/2a(a + 1)(2)f(x + y) in intuitionistic fuzzy normed spaces, where a not equal 0 a not equal +/-1. Furthermore, we investigate intuitionistic fuzzy continuity through the existence of a certain solution of a fuzzy stability problem for approximately Euler-Lagrange quartic functional equation.
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