A FIXED POINT APPROACH TO THE CAUCHY-RASSIAS STABILITY OF GENERAL JENSEN TYPE QUADRATIC-QUADRATIC MAPPINGS

作者：Park Choonkil^*; Gordji M Eshaghi; Khodaei H

来源：Bulletin of the Korean Mathematical Society, 2010, 47(5): 987-996.

DOI：10.4134/BKMS.2010.47.5.987

• Cauchy-Rassias stability
• quadratic mapping
• fixed point method

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.

• 出版日期2010-9