QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES
- Authors
- Kim, Ji-Hye; Park, Choonkil
- Issue Date
- Mar-2017
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- fuzzy Banach space; quadratic rho-functional inequality; fixed point method; Hyers-Ulam stability
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.22, no.3, pp.462 - 473
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 22
- Number
- 3
- Start Page
- 462
- End Page
- 473
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/152747
- ISSN
- 1521-1398
- Abstract
- In this paper, we solve the following quadratic rho-functional inequalities
N(f(x + y) + f(x + y) - 2f(x) - 2f(y),t) (0.1)
>= N (rho(2f (x+y/2) + 2f (x-y/2) - f(x) - f(y)), t)
where rho is a fixed real number with vertical bar rho vertical bar < 1, and
N (2f(x+y/2) + 2f(x-y/2) - f(x) - f(y), t) (0.2)
>= N (rho(f (x+y) + f (x-y) - 2f(x) - 2f(y)), t)
where rho is a fixed real number with vertical bar rho vertical bar < 1/2.
Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic functional inequalities (0.1) and (0.2) in fuzzy Banach spaces.
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