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 | 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 |
Bibliographical note
Publisher Copyright:© 2018.
Keywords
- Asymptotic nonexpansive mapping
- Fixed point
- Monotone mapping
- Partially ordered
- Uniformly convex
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics
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