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

页码：987 / 996

页数：10