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A FIXED POINT APPROACH TO THE CAUCHY-RASSIAS STABILITY OF GENERAL JENSEN TYPE QUADRATIC-QUADRATIC MAPPINGSopen access
- Authors
- Park, Choonkil; Gordji, M. Eshaghi; Khodaei, H.
- Issue Date
- Sep-2010
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- Cauchy-Rassias stability; quadratic mapping; fixed point method
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.47, no.5, pp.987 - 996
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 47
- Number
- 5
- Start Page
- 987
- End Page
- 996
- ISSN
- 1015-8634
- Abstract
- In this paper, we investigate the Cauchy-Rassias stability in Banach spaces and also the Cauchy-Rassias stability using the alternative fixed point for the functional equation: f(sx + ty/2 + rz) + f(sx + ty/2 - rz) + f(sx-ty/2 + rz) + f(sx-ty/2 - rz) = s(2)f(x) + t(2)f(y) + 4r(2)f(z) for any fixed nonzero integers s, t, r with r not equal +/- 1.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)