C∗-algebra-valued metric spaces and related fixed point theorems

被引：0
|
作者：
Zhenhua Ma
Lining Jiang
Hongkai Sun
机构：
[1] Beijing Institute of Technology,School of Mathematics and Statistics
[2] Hebei Institute of Architecture and Civil Engineering,Department of Mathematics and Physics
来源：
Fixed Point Theory and Applications | / 2014卷
关键词：
-algebra; -algebra-valued metric; contractive mapping; expansive mapping; fixed point theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Based on the concept and properties of C∗-algebras, the paper introduces a concept of C∗-algebra-valued metric spaces and gives some fixed point theorems for self-maps with contractive or expansive conditions on such spaces. As applications, existence and uniqueness results for a type of integral equation and operator equation are given.
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