一类混合单调算子方程组解的存在唯一性  

Existence and uniqueness of solutions for a class of mixed monotone operators

作　　者：王海霞[1] 雷海 张东梅 

机构地区：[1]西北大学数学系,西安710127 [2]蒲城职教中心,陕西蒲城715500 [3]榆林市第十中学,陕西榆林719000

出　　处：《齐齐哈尔大学学报（自然科学版）》2009年第1期48-50,共3页Journal of Qiqihar University(Natural Science Edition)

基　　金：陕西省教育厅自然科学专项基金(06JK170)

摘　　要：研究了实Banach空间中混合单调算子方程组解的存在唯一性。用混合单调算子理论及单调迭代方法,给出了解的迭代序列和误差估计,所得结果改进和拓展了混合单调算子方程组的某些相应结果。Discussed the existence and uniqueness of solutions for a class of mixed monotone operators equations in the real Banach space. By using the mixed monotone operators theory and monotone iteration method, to analysize the existence and uniqueness of this operators equations. The iteration sequences converge to solution of operator equations and the error estimates are also given. The results have been improved and some results are obtained.

关 键 词：锥与半序 混合单调算子 方程组 

分 类 号：O177[理学—数学]