Banach空间中一类非线性算子的不动点存在性定理(英文)

Fixed Points Theorems for a Class of Nonlinear Operators in Banach Spaces

本文利用非线性算子建立全新的边界条件,研究满足Monch条件的连续算子的不动点存在性问题,得到一些新结果.所得结果推广了最近一些文献的主要结论.

In this article,we mainly investigate the existence of fixed points of the operators satisfying the Monch condition in Banach spaces. Under several new different bounded conditions which are established by a nonlinear operator,we obtain a few existence results of fixed points. These results extend the main conclusions in recent literatures.