南开大学学报(自然科学版) ›› 2020 ›› Issue (1): 41-.

• • 上一篇    下一篇

锥巴拿赫空间上(α, β)-导子的稳定性(英文)

  

  • 出版日期:2020-02-20 发布日期:2020-03-03

  • Online:2020-02-20 Published:2020-03-03

摘要: The Hyers-Ulam stability of ( α,β ) - derivations from a unital ring R to a R -bimodule which is a cone Banach space with the cone norm ||·||P , where P is a normal cone in a real Banach space E is investigated associated with the following functional equation

f (( a + b) c ) = f ( a ) α ( c ) + β ( a ) f ( c ) + f (b) α ( c ) + β (b) f ( c )
using the fixed point method and the direct method respectively.

关键词:  Hyers-Ulam stability, ring, cone Banach space, ( α,β ) -derivation.