两个非单调二元算子的公共不动点定理

The Common Fixed Point Theory for Two Non-Monotone Binary Operator

利用锥与半序理论和混合单调算子理论,讨论了半序Banach空间中两个非单调二元算子的公共不动点的存在性和唯一性,并给出了迭代序列收敛于公共不动点的误差估计,所得结果是某些已知结果本质改进和推广.

By using the cone and partail ordering theory, and mixed monotone operator theory in nonlinear funtional analysis, the existence and uniqueness of the common fixed point for two non-monotone binary operator are discussed in partial ordering Banach space. And the error estimates that the iteration sequences converge to the common fixed point are given. The results presented improve and generalize some corresponding results.