Banach空间混合型泛函方程的稳定性问题

Stability of a mixed type functional equation in Banach spaces

首先整合资源,给出Banach空间一类混合型泛函方程的等价性证明,其次利用不动点的择一性逐步分类地研究了Banach空间中混合型泛函方程的稳定性问题,得到较为精确的上界。

The equivalence of two mixed type functional equations in Banach space is given.By using the fixed point method,the stability of the mixed functional equation in Banach space is built up step by step.Furthermore,the better upper bound is gotten.