摘要
Based on the concept and properties of C∗-algebras, the paper introduces a concept of C∗-algebra-valued b-metric spaces which generalizes the concept of C∗-algebra-valued metric spaces and gives some basic fixed point theorems for self-map with contractive condition on such spaces. As applications, existence and uniqueness results for a type of operator equation and an integral equation are given.
| 源语言 | 英语 |
|---|---|
| 文章编号 | 222 |
| 页（从-至） | 1-12 |
| 页数 | 12 |
| 期刊 | Fixed Point Theory and Algorithms for Sciences and Engineering |
| 卷 | 2015 |
| 期 | 1 |
| DOI | |
| 出版状态 | 已出版 - 1 12月 2015 |