一类非单调二元算子方程解的存在唯一性  

The Existence and Uniqueness of the Solutions of Some Non-monotone Binary Operator Equations

作　　者：赵晓晶[1] 刘肖云[1] 

机构地区：[1]安阳工学院数理学院,安阳455000

出　　处：《价值工程》2011年第20期184-185,共2页Value Engineering

摘　　要：利用锥理论和非对称迭代方法,讨论了一类非单调二元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,所得结果是某些已知结果的改进和推广。By using the cone theory and non-symmetry iteration method,the existence and uniqueness of solutions of non-monotone binary operator equations are studied.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.

关 键 词：锥与半序 非对称迭代 算子方程 不动点 

分 类 号：O177.91[理学—数学]