Abstract
In this manuscript, we discuss the latest fixed point results of monotone mappings. The fixed point theory of such mappings has seen a tremendous interest in the last decade since the publication of Ran and Reurings paper in 2004. Fixed point theory for monotone mappings is useful and has many applications. For example when one is looking for a positive or negative solution, the use of the classical fixed point results is not adapted in this situation.
| Original language | English |
|---|---|
| Pages (from-to) | 1953-1976 |
| Number of pages | 24 |
| Journal | Journal of Fixed Point Theory and Applications |
| Volume | 19 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Sep 2017 |
Bibliographical note
Publisher Copyright:© 2016, Springer International Publishing.
Keywords
- Fixed point
- Integral delay equation
- Krasnoselskii iteration
- Lebesgue measure
- Monotone mapping
- Nonexpansive mapping
- Partially ordered
ASJC Scopus subject areas
- Modeling and Simulation
- Geometry and Topology
- Applied Mathematics