反向混合单调算子方程解的存在唯一性定理

The Existence of Uniqueness Theorens of the Solutions of Some Anti-mixed Monotone Operator Equations

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,并给出了迭代序列收敛于解的误差估计,作为其应用着重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.

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