Abstract
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.
| Original language | English |
|---|---|
| Article number | 222 |
| Pages (from-to) | 1-12 |
| Number of pages | 12 |
| Journal | Fixed Point Theory and Algorithms for Sciences and Engineering |
| Volume | 2015 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Dec 2015 |
Keywords
- (formula presented.)-algebra