中文摘要：

运用锥与半序理论和非对称迭代方法,讨论半序Banach空间一类反向混合单调算子方程解的存在唯一性,给出了迭代序列收敛于解的误差估计,推广讨论了非反向混合单调算子方程解的存在唯一性,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.

英文摘要：

By using the cone and partial theory and non-symmetry iteration method,the existence and uniqueness of solutions of a class of anti-mixed monotone operator equations in Banach spaces are studied.And the iteration sequences which converge to solution of operator equations and the error estimates are also given.For its application,the existence and uniqueness of solutions of non-anti-mixed monotone operator equations are mainly studied,the results presented here improve and generalize some corresponding results for mixed monotone operators.