Abstract
Based on the concept of operator-valued metric spaces, the definitions of operator-valued 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1078-1080 |
| Number of pages | 3 |
| Journal | Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology |
| Volume | 34 |
| Issue number | 10 |
| Publication status | Published - 1 Oct 2014 |
Keywords
- Contraction map
- Expansive map
- Operator-valued metric space
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Ma, Z. H., Jiang, L. N., & Xin, Q. L. (2014). Fixed point theorems on operator-valued metric space. Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology, 34(10), 1078-1080.