STABILITY OF SOME FUNCTIONAL EQUATIONS ON BOUNDED DOMAINSopen access
- Authors
- Noori, Batool; Moghimi, Mohammad Bagher Farshbaf; Khosravi, B.; Park, Choonkil
- Issue Date
- Jun-2020
- Publisher
- ELEMENT
- Keywords
- Additive mapping; quadratic mapping; Hyers-Ulam stability; restricted domain
- Citation
- JOURNAL OF MATHEMATICAL INEQUALITIES, v.14, no.2, pp.455 - 472
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL INEQUALITIES
- Volume
- 14
- Number
- 2
- Start Page
- 455
- End Page
- 472
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/145586
- DOI
- 10.7153/jmi-2020-14-29
- ISSN
- 1846-579X
- Abstract
- In this paper, we investigate the Hyers-Ulam stability of the functional equations
f(x + y ) + f(x - y) = 2f(x),
f(x + y ) + f(x - y) = 2f(x) + f(y) + f(-y),
f(px + (1-p)y) + f((1 - p)x +py)= f(x) _ f(y)
for p = 1/3 and p = 1/4, where f is a mapping from a bounded subset of R-N >= 1 into a Banach space E.
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