1,249,498 research outputs found
An intermediate value theorem in ordered Banach spaces
We consider a monotone increasing operator in an ordered Banach space having
and as a strong super- and subsolution, respectively. In contrast
with the well studied case , we suppose that . Under the
assumption that the order cone is normal and minihedral, we prove the existence
of a fixed point located in the ordered interval $[u_-,u_+].
- …