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Hyers-Ulam stability of quadratic functional equations in paranormed spaces
- Authors
- Choi, Jinwoo; Yang, Joon Hyuk; Park, Choonkil
- Issue Date
- Apr-2014
- Publisher
- Kluwer Academic Publishers
- Keywords
- paranormed space; fixed point; quadratic functional equation; Hyers-Ulam stability
- Citation
- Journal of Computational Analysis and Applications, v.16, no.3, pp 461 - 467
- Pages
- 7
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 16
- Number
- 3
- Start Page
- 461
- End Page
- 467
- ISSN
- 1521-1398
1572-9206
- Abstract
- Lin [18, 19] introduced and investigated the following quadratic functional equations cf(Sigma(n)(i=1)x(i)) + Sigma(n)(j=2)f (Sigma(n)(i=1)x(i) - (n + c - 1)x(j)) (0.1) = (n + c - 1) (f(x(1)) + c Sigma(n)(i=2)f(x(i)) + Sigma(n)(i<j,j=3) (Sigma(n-1)(i=2)f(x(i) - x(j)))), Q(Sigma(n)(i=1)d(i)x(i)) + Sigma(1 <= i<j <= n) d(i)d(j)Q(x(i) - x(j)) = (Sigma(n)(i=1)d(i)) (Sigma(n)(i=1)d(i)Q(x(i))). (0.2) In this paper, we prove the Hyers-Ulam stability of the above quadratic functional equations in para-normed spaces.
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