一类反向混合单调算子方程组解的存在唯一性  

Existing and Uniqueness of Solutions of Some Anti-mixed Monotone Operator System of Equations

作　　者：元春梅[1] 刘翠英[2] 

机构地区：[1]江苏工业学院数理学院,江苏省常州市213164 [2]武警济南指挥学院,山东省济南市250002

出　　处：《曲阜师范大学学报（自然科学版）》2010年第3期33-36,共4页Journal of Qufu Normal University(Natural Science)

摘　　要：利用锥理论和非对称迭代方法,研究了半序Banach空间一类反向混合单调算子方程组解的存在唯一性,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的结果.In this paper,using the cone theory and non-symmetric iteration method,the existence and uniqueness of solutions to a class of anti-monotone operator system of equations in Banach spaces are studied.The iteration sequences which converge to solution of operator equations and the error estimates are also given.Results presented here improve and generalize some corresponding results for mixed monotone operator.

关 键 词：非对称迭代 反向混合单调算子 正规锥 不动点 

分 类 号：O177.91[理学—数学]