On diagonal fixed points of increasing functions
✍ Scribed by Loïc Colson
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 228 KB
- Volume
- 222
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
✦ Synopsis
It is shown that the least fixed point and greatest fixed point operations of an increasing function 0 of two arguments over a complete lattice commute if the function is fight-associative.
📜 SIMILAR VOLUMES
## Abstract In a Banach space __E__ (pre)ordered by a cone we consider a mapping __f__ : [__v,w__] → __E__ (__v,w__ ∈ __E__, __v__ ≤ __w__) which satisfies __v__ ≤ __f__(__v__) and __f__(__w__) ≤ __w__. We show that __f__ has a smallest and a greatest fixed point, if it is continuous, quasimonotone
r a c t In the paper, we study the uniqueness and the shared fixed-points of meromorphic functions and prove two main theorems which improve the results of Fang and Fang and Qiu.