序Banach空间中一类算子的不动点定理

Fixed point theorems of a class of operator in ordered Banach space

目的在序Banach空间,证明了一类算子的不动点定理。方法利用迭代方法。结果研究了只满足某种序条件的混合单调算子的不动点定理。结论推广了已知结果,使其适用范围更广。

Aim In ordered Banach space,the fixed point theorems of a class operators are proved. Methods Using the iteration method. Results The fixed point of mixed monotone operators was solved with ordered condition. Conclusion The obtained results improve the related known works.