节点文献
算子值距离空间上的不动点定理
Fixed Point Theorems on Operator-Valued Metric Space
【摘要】 在完备的算子值距离空间基础上,分别给出算子值压缩映射和算子值扩张映射的概念,并给出了相应的不动点定理.作为应用,给出一类积分方程解的存在性和唯一性.
【Abstract】 Based on the concept of operator-valued metric spaces,the definitions of operatorvalued contraction map and expansive map were introduced,and furthermore,the corresponding fixed point theorems were proven.As an application,the existence and uniqueness of a kind of integral equation of Fredholm type is given.
【关键词】 算子值距离空间;
压缩映射;
扩张映射;
【Key words】 operator-valued metric space; contraction map; expansive map;
【Key words】 operator-valued metric space; contraction map; expansive map;
【基金】 国家自然科学基金资助项目(10971011,11371222)
- 【文献出处】 北京理工大学学报 ,Transactions of Beijing Institute of Technology , 编辑部邮箱 ,2014年10期
- 【分类号】O177.91
- 【被引频次】4
- 【下载频次】49