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

作者：Xu Tianzhou^*; Michael, Rassias John; Xu Wanxin

来源：Acta Mathematica Scientia, 2012, 32(3): 866-892.

• Banach module
• stability
• additive function
• cubic function
• unital Banach algebra
• generalized metric space
• fixed-point
• JMRassias (or JMR) mixed product-sum of powers of norms

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.

• 出版日期2012-5
• 单位电子科技大学; 北京理工大学