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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

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【Author】 XU Shao-yuan1,WANG Guo-sheng2,FENG Bang-qin3(1.Department of Mathematics,Huaibei Coal Industry Teachers College,235000,Huaibei,Anhui,China;2.Department of Mathematics and Physics,HNUST,066004,Qinhuangdao,Hebei,China;3.Student Affairs Department,Huangshi Institute of Technology,435003,Huangshi Hubei,China)

【机构】淮北煤炭师范学院数学系；河北科技学院数理系；黄石理工学院学工部安徽淮北235000；河北秦皇岛066004；湖北黄石435003；

【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.更多还原

【Abstract】 In this paper,we discuss a class of groups decreasing operator equations by using semi-ordering 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.更多还原

【关键词】泛函与半序；完备度量空间；连续减算子；算子方程组；
【Key words】 functionals and semi-orders； complete metric spaces； continuous decreasing operators； group of operator equations；

【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)

【文献出处】淮北煤炭师范学院学报(自然科学版) ,Journal of Huaibei Coal Industry Teachers College(Natural Science Edition) , 编辑部邮箱 ,2006年03期

【分类号】O177.91
【下载频次】35

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