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

被引：4
作者：
Park, Choonkil [1 ]
Gordji, M. Eshaghi [2 ]
Khodaei, H. [2 ]
机构：
[1] Hanyang Univ, Dept Math, Res Inst Nat Sci, Seoul 133791, South Korea
[2] Semnan Univ, Dept Math, Semnan, Iran
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2010年 / 47卷 / 05期
关键词：
Cauchy-Rassias stability; quadratic mapping; fixed point method; C-ASTERISK-ALGEBRA; BANACH MODULES; FUNCTIONAL-EQUATIONS; BEHAVIOR;
D O I：
10.4134/BKMS.2010.47.5.987
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：987 / 996
页数：10
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