一类非单调算子的新不动点定理

The New Fixed Point Theorem for the Non-monotone Operator

用正规锥的性质和压缩原理及非对称迭代方法,构造出了一组迭代序列,从而得到Banach空间一类非单调算子的新不动点定理,改进推广了已有的一些结果.

Using the normal cone and compressible principle and the iterate ways of the asymmetry, we make up a group iterative sequence, the fixed point of a monotone operators in Banach space are given. Some known resuits are generalized.