Abstract
Based on the concept and properties of [InlineEquation not available: see fulltext.]-algebras, the paper introduces a concept of [InlineEquation not available: see fulltext.]-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. MSC:47H10, 46L07.
| Original language | English |
|---|---|
| Article number | 206 |
| Journal | Fixed Point Theory and Algorithms for Sciences and Engineering |
| Volume | 2014 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 May 2014 |
Keywords
- [InlineEquation not available: see fulltext.]-algebra
- [InlineEquation not available: see fulltext.]-algebra-valued metric
- contractive mapping
- expansive mapping
- fixed point theorem
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Ma, Z., Jiang, L., & Sun, H. (2014). [InlineEquation not available: see fulltext.]-algebra-valued metric spaces and related fixed point theorems. Fixed Point Theory and Algorithms for Sciences and Engineering, 2014(1), Article 206. https://doi.org/10.1186/1687-1812-2014-206