反向混合单调算子新的不动点定理

Fixed Point Theorems of Mixed Monotone Operator

利用锥理论和非对称迭代方法,研究了Banach空间一类反向混合单调算子方程解的存在唯一性,并给出了迭代序列收敛于解的误差估计,所得结果改进和推广了混合单调算子方程某些已知相应结果.

Using the cone theory and non-syrmnetric iteration method, the author studies the existence and uniqueness of solutions to a class of anti-monotone operator equations in Banach spaces. And the iteration sequences which converge to solution of operator equations and the error estimates are also given. The results presented improve and generalize some corresponding results for mixed monotone operator.