半序度量空间中一类减算子方程组的可解性  

The Existence of the Solutions to a Class of Groups of Decreasing Operator Equations in Ordered Metric Spaces

作　　者：许绍元[1] 王国胜[2] 冯邦钦[3] 

机构地区：[1]淮北煤炭师范学院数学系,安徽淮北235000 [2]河北科技学院数理系,河北秦皇岛066004 [3]黄石理工学院学工部,湖北黄石435003

出　　处：《淮北煤炭师范学院学报（自然科学版）》2006年第3期1-4,共4页Journal of Huaibei Coal Industry Teachers College(Natural Science edition)

基　　金：国家自然科学基金项目(10171116);安徽省教育厅重点科研项目(2003kj047zd)

摘　　要：文章在半序度量空间中讨论了一类连续减算子方程组,证明了方程组的解的存在性,并在适当的条件下得到了解的叠代收敛性.In this paper, we discuss a class of groups decreasing operator equations by using semiordering method. Under the condition that the operator is continuous, we show that the existence of the solutions to the group of operator equations. Moreover, we also prove that the convergence of the iterative sequences under the proper conditions.

关 键 词：泛函与半序 完备度量空间 连续减算子 算子方程组 

分 类 号：O177.91[理学—数学]