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5. A FIXED POINT APPROACH TO THE STABILITY OF A GENERAL MIXED ADDITIVE-CUBIC EQUATION ON BANACH MODULES

A FIXED POINT APPROACH TO THE STABILITY OF A GENERAL MIXED ADDITIVE-CUBIC EQUATION ON BANACH MODULES

来源 :数学物理学报（英文版） | 被引量 : 0次 | 上传用户：gwwpw8775

【摘 要】

：

Using a fixed-point method,we establish the generalized Hyers-Ulam stability of a general mixed additive-cubic equation:f(kx + y) + f(kx - y) =kf(x + y) + kf(x

【作 者】

：

Xu Tianzhou Rassias John Micha 

【机 构】

：

School of Mathematics,Pedagogical Department E.E.,School of Communication and Information Engineerin

【出 处】

：

数学物理学报（英文版）

【发表日期】

：

2004年期

【关键词】

：

Banach module stability additive function cubic function unital Banach algebra g 

【基金项目】

：

国家自然科学基金

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Using a fixed-point method,we establish the generalized Hyers-Ulam stability of a general mixed additive-cubic equation:f(kx + y) + f(kx - y) =kf(x + y) + kf(x -y) + 2f(kx) - 2kf(x) in Banach modules over a unital Banach algebra.

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