混合单调算子的不动点定理

Fixed Point Theorems of Mixed Monotone Operators

利用非对称迭代的方法,研究了几类既没有连续性条件也没有紧性条件而只满足某些序条件的混合单调算子不动点的存在性、唯一性及迭代收敛性,得出了新的不动点定理并给出了此迭代的误差估计.

In this paper, nonsymmetric iteration method is used to study the existence, uniqueness and convergence of iteration of monotone operators which only satisfies some ordered condition, while no continuous condition or compact condition is involved. A new fixed point theorem is obtained.