非连续单调算子的不动点定理

Fixed points theorems of non-continual monotone operator

在Banach空间E中,利用正规锥的性质及压缩原理,通过上下解方法构造出一组迭代序列,所得序列均为Banach空间E中的柯西序列,再利用E的完备性,从而得到非连续单调算子的最大与最小不动点,改进推广了某些已有的结果.

In Banach space,using the normal cone and compressive principle,we make up a group iterative sequence,maximum point and minimum point of non-continual monotone operator are give.Some know results are generalized.