| 锥巴拿赫空间上(α,β)-导子的稳定性 |
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| 引用本文： | 刘建华,孟庆.锥巴拿赫空间上(α,β)-导子的稳定性[J].南开大学学报,2020,53(1):41-47. |
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| 作者姓名： | 刘建华 孟庆 |
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| 作者单位： | 曲阜师范大学数学科学学院,山东曲阜273165;曲阜师范大学数学科学学院,山东曲阜273165 |
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| 基金项目： | Supported by the China Postdoctoral Science Foundation;the Shandong Province Higher Educational Science and Technology Program;the National Natural Science Foundation of China |
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| 摘 要： | The Hyers-Ulam stability of ( α,β ) - derivations from a unital ring R to a R -bimodulewhich is a cone Banach space with the cone norm ||·||P , whereP is a normal cone in a real Banach spaceE 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.
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| 关 键 词： | Hyers-Ulam稳定性 环 锥巴拿赫空间 (α β)导子 |
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