Fixed points of increasing operators in ordered Banach spaces and applications
โ Scribed by Du, Yihong
- Book ID
- 121423685
- Publisher
- Taylor and Francis Group
- Year
- 1990
- Tongue
- English
- Weight
- 839 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0003-6811
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We generalize the fixed-point theorem of Leggett-Williams, which is a theorem giving conditions that imply the existence of three fixed points of an operator defined on a cone in a Banach space. We then show how to apply our theorem to prove the existence of three positive solutions to a second-orde
In this paper, we consider some decreasing operators in ordered Banach spaces. We study the existence and uniqueness of fixed points and properties of the iterative sequences for these operators. Lastly, the results are applied to nonlinear second order elliptic equations.