Abstract
In this work, we will discuss the recent work of Gornicki in the context of weighted graphs. This extension is valuable since it relaxes any order structure defined on a metric space. This approach finds its origin in the work of Jachymski. To be more specific, we prove that continuous Ciric-Jachymski-Matkowski contraction mappings monotone in the graphical sense have a fixed point.
| Original language | British English |
|---|---|
| Pages (from-to) | 1021-1027 |
| Number of pages | 7 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 19 |
| Issue number | 6 |
| State | Published - 2018 |
Keywords
- Asymptotic nonexpansive mapping
- Fixed point
- Monotone mapping
- Partially ordered
- Uniformly convex